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PF. Condizione: New.

Paperback. Condizione: New. The epic poet Dionysius, who probably flourished in the first century CE, is a key transitional figure in the history of Greek poetry, sharing stylistic and thematic tendencies with both the learned Hellenistic tradition and the monumental epic poetry of the later Roman period. His Bassarica is the earliest known poem on the conquest of India by the god Dionysus and was an important model of Nonnus' Dionysiaca. His Gigantias related the battle of the giants against the Olympian gods and legends surrounding it, with particular focus on the figure of Heracles. This is the most comprehensive edition to date of his poetry, expanding the number of fragments available and providing a more reliable text based on a fresh inspection of the papyri. The volume includes a substantial introduction contextualising the poetry, a facing English translation of the text, and a detailed linguistic and literary commentary.…

Condizione: New.

Condizione: New.

perfect. Condizione: New.

Condizione: New. In English.

Condizione: New.

Condizione: New.

X/155 pp. and 13 plates, very good and clean, text in English, Sprache: Englisch Gewicht in Gramm: 700 original hardcover (no dust jacket).

Taschenbuch. Condizione: Neu. Neuware -The exposition of this Book begins with essential elements of stochastic analysis, stochastic calculus, and elements of functional analysis. We then progress to detailed discussions on existence, uniqueness, and stability of solutions, as well as qualitative behaviors under varying conditions. The text also incorporates selected applications, illustrating how stochastic models naturally arise in diverse scientific and engineering problems. This work is intended for graduate students, researchers, and professionals who wish to deepen their understanding of stochastic systems. It may serve as both a book for beginner researchers and a reference for specialists pursuing further studies in the field. The presentation balances rigor with accessibility, combining mathematical depth with an emphasis on clarity. We are indebted to the contributions of many mathematicians whose pioneering work laid the foundations of this subject. Our gratitude extends to colleagues and students whose questions and insights have helped shape the material presented here.In the first two chapters, the book introduces selected topics from probability the ory: Brownian motion and the Wiener process, the stochastic integral in Hilbert spaces, and fractional Brownian motion. It explains in detail the essential properties of functional analysis, such as generalized metrics and Banach spaces, compactness criteria, measures of non-compactness (MNC), fixed point theory, some properties of set-valued maps, fixed point results, and semi-group theory. The question of the quantitative study of impulsive stochastic differential equations/ systems is treated with particular attention in Chapter 3 and Chapter 4. With fixed moments and multiple delays, the existence of solutions with fixed moments and multiple delays is addressed through the application of Schaefer and Perov fixed point theorems in generalized Banach spaces, driven by standard Brownian motion. WhereasinChapter5, sufficient conditions for the local and global existence and exponential stability of mild solutions of semi-linear systems of stochastic differential equations with infinite fractional Brownian motions and impulses are established with the Hurst index H > 1/2. In Chapter 6, we discuss some results on the existence and uniqueness of mild solutions for systems of semilinear impulsive differential equations with infinite fractional Brownian motions and Wiener processes. The approach is based on a new ver sion of the fixed point theorem due to Krasnoselskii in generalized Banach spaces. Chapter 7 deals with impulsive neutral stochastic functional differential equations driven by fBm with a noncompact semigroup. In Chapter 8, we prove some existence results based on a nonlinear alternative of the Leray-Schauder type theorem in generalized Banach spaces for the convex case; we establish a multi-valued version of Perov s fixed point theorem in a non-convex setting. In Chapter 9, we provide sufficient conditions for the existence of solutions for a class of second-order systems of stochastic impulsive differential inclusions. In Chapter 10, it is devoted to the study of a convex stochastic sweeping process with fractional Brownian motion and time delay. The approach is based on discretizing stochastic functional differential inclusions.This book is addressed to a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used as a textbook at the graduate level and as a reference book for several disciplines.The aim of this book is to present a clear and well-organized treatment of the concept behind the development of mathematics as well as solution techniques. The text material of this book is presented in a readable and mathematically solid format. 360 pp. Englisch.…

Taschenbuch. Condizione: Neu. Neuware -The exposition of this Book begins with essential elements of stochastic analysis, stochastic calculus, and elements of functional analysis. We then progress to detailed discussions on existence, uniqueness, and stability of solutions, as well as qualitative behaviors under varying conditions. The text also incorporates selected applications, illustrating how stochastic models naturally arise in diverse scientific and engineering problems. This work is intended for graduate students, researchers, and professionals who wish to deepen their understanding of stochastic systems. It may serve as both a book for beginner researchers and a reference for specialists pursuing further studies in the field. The presentation balances rigor with accessibility, combining mathematical depth with an emphasis on clarity. We are indebted to the contributions of many mathematicians whose pioneering work laid the foundations of this subject. Our gratitude extends to colleagues and students whose questions and insights have helped shape the material presented here.In the first two chapters, the book introduces selected topics from probability the ory: Brownian motion and the Wiener process, the stochastic integral in Hilbert spaces, and fractional Brownian motion. It explains in detail the essential properties of functional analysis, such as generalized metrics and Banach spaces, compactness criteria, measures of non-compactness (MNC), fixed point theory, some properties of set-valued maps, fixed point results, and semi-group theory. The question of the quantitative study of impulsive stochastic differential equations/ systems is treated with particular attention in Chapter 3 and Chapter 4. With fixed moments and multiple delays, the existence of solutions with fixed moments and multiple delays is addressed through the application of Schaefer and Perov fixed point theorems in generalized Banach spaces, driven by standard Brownian motion. WhereasinChapter5, sufficient conditions for the local and global existence and exponential stability of mild solutions of semi-linear systems of stochastic differential equations with infinite fractional Brownian motions and impulses are established with the Hurst index H > 1/2. In Chapter 6, we discuss some results on the existence and uniqueness of mild solutions for systems of semilinear impulsive differential equations with infinite fractional Brownian motions and Wiener processes. The approach is based on a new ver sion of the fixed point theorem due to Krasnoselskii in generalized Banach spaces. Chapter 7 deals with impulsive neutral stochastic functional differential equations driven by fBm with a noncompact semigroup. In Chapter 8, we prove some existence results based on a nonlinear alternative of the Leray-Schauder type theorem in generalized Banach spaces for the convex case; we establish a multi-valued version of Perov s fixed point theorem in a non-convex setting. In Chapter 9, we provide sufficient conditions for the existence of solutions for a class of second-order systems of stochastic impulsive differential inclusions. In Chapter 10, it is devoted to the study of a convex stochastic sweeping process with fractional Brownian motion and time delay. The approach is based on discretizing stochastic functional differential inclusions.This book is addressed to a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used as a textbook at the graduate level and as a reference book for several disciplines.The aim of this book is to present a clear and well-organized treatment of the concept behind the development of mathematics as well as solution techniques. The text material of this book is presented in a readable and mathematically solid format. 360 pp. Englisch.…

Condizione: New.

Condizione: New.

hardcover. Condizione: New. 1st.

Taschenbuch. Condizione: Neu. Neuware - The exposition of this Book begins with essential elements of stochastic analysis, stochastic calculus, and elements of functional analysis. We then progress to detailed discussions on existence, uniqueness, and stability of solutions, as well as qualitative behaviors under varying conditions. The text also incorporates selected applications, illustrating how stochastic models naturally arise in diverse scientific and engineering problems. This work is intended for graduate students, researchers, and professionals who wish to deepen their understanding of stochastic systems. It may serve as both a book for beginner researchers and a reference for specialists pursuing further studies in the field. The presentation balances rigor with accessibility, combining mathematical depth with an emphasis on clarity. We are indebted to the contributions of many mathematicians whose pioneering work laid the foundations of this subject. Our gratitude extends to colleagues and students whose questions and insights have helped shape the material presented here.In the first two chapters, the book introduces selected topics from probability the ory: Brownian motion and the Wiener process, the stochastic integral in Hilbert spaces, and fractional Brownian motion. It explains in detail the essential properties of functional analysis, such as generalized metrics and Banach spaces, compactness criteria, measures of non-compactness (MNC), fixed point theory, some properties of set-valued maps, fixed point results, and semi-group theory. The question of the quantitative study of impulsive stochastic differential equations/ systems is treated with particular attention in Chapter 3 and Chapter 4. With fixed moments and multiple delays, the existence of solutions with fixed moments and multiple delays is addressed through the application of Schaefer and Perov fixed point theorems in generalized Banach spaces, driven by standard Brownian motion. WhereasinChapter5, sufficient conditions for the local and global existence and exponential stability of mild solutions of semi-linear systems of stochastic differential equations with infinite fractional Brownian motions and impulses are established with the Hurst index H > 1/2. In Chapter 6, we discuss some results on the existence and uniqueness of mild solutions for systems of semilinear impulsive differential equations with infinite fractional Brownian motions and Wiener processes. The approach is based on a new ver sion of the fixed point theorem due to Krasnoselskii in generalized Banach spaces. Chapter 7 deals with impulsive neutral stochastic functional differential equations driven by fBm with a noncompact semigroup. In Chapter 8, we prove some existence results based on a nonlinear alternative of the Leray-Schauder type theorem in generalized Banach spaces for the convex case; we establish a multi-valued version of Perov s fixed point theorem in a non-convex setting. In Chapter 9, we provide sufficient conditions for the existence of solutions for a class of second-order systems of stochastic impulsive differential inclusions. In Chapter 10, it is devoted to the study of a convex stochastic sweeping process with fractional Brownian motion and time delay. The approach is based on discretizing stochastic functional differential inclusions.This book is addressed to a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used as a textbook at the graduate level and as a reference book for several disciplines.The aim of this book is to present a clear and well-organized treatment of the concept behind the development of mathematics as well as solution techniques. The text material of this book is presented in a readable and mathematically solid format.…

HRD. Condizione: New. New Book. Shipped from UK. Established seller since 2000.

Condizione: New. Tayeb Blouhi is Professor of Statistics at USTO, Algeria. He received his PhD in Statistics in 2017 and the Habilitation in 2019. His research focuses on stochastic differential equations, impulsive systems, and fixed point theory. He has published widel.

Paperback. Condizione: New. The epic poet Dionysius, who probably flourished in the first century CE, is a key transitional figure in the history of Greek poetry, sharing stylistic and thematic tendencies with both the learned Hellenistic tradition and the monumental epic poetry of the later Roman period. His Bassarica is the earliest known poem on the conquest of India by the god Dionysus and was an important model of Nonnus' Dionysiaca. His Gigantias related the battle of the giants against the Olympian gods and legends surrounding it, with particular focus on the figure of Heracles. This is the most comprehensive edition to date of his poetry, expanding the number of fragments available and providing a more reliable text based on a fresh inspection of the papyri. The volume includes a substantial introduction contextualising the poetry, a facing English translation of the text, and a detailed linguistic and literary commentary.…

Taschenbuch. Condizione: Neu. Neuware -The exposition of this Book begins with essential elements of stochastic analysis, stochastic calculus, and elements of functional analysis. We then progress to detailed discussions on existence, uniqueness, and stability of solutions, as well as qualitative behaviors under varying conditions. The text also incorporates selected applications, illustrating how stochastic models naturally arise in diverse scientific and engineering problems. This work is intended for graduate students, researchers, and professionals who wish to deepen their understanding of stochastic systems. It may serve as both a book for beginner researchers and a reference for specialists pursuing further studies in the field. The presentation balances rigor with accessibility, combining mathematical depth with an emphasis on clarity. We are indebted to the contributions of many mathematicians whose pioneering work laid the foundations of this subject. Our gratitude extends to colleagues and students whose questions and insights have helped shape the material presented here. In the first two chapters, the book introduces selected topics from probability the ory: Brownian motion and the Wiener process, the stochastic integral in Hilbert spaces, and fractional Brownian motion. It explains in detail the essential properties of functional analysis, such as generalized metrics and Banach spaces, compactness criteria, measures of non-compactness (MNC), fixed point theory, some properties of set-valued maps, fixed point results, and semi-group theory. The question of the quantitative study of impulsive stochastic differential equations/ systems is treated with particular attention in Chapter 3 and Chapter 4. With fixed moments and multiple delays, the existence of solutions with fixed moments and multiple delays is addressed through the application of Schaefer and Perov fixed point theorems in generalized Banach spaces, driven by standard Brownian motion. WhereasinChapter5, sufficient conditions for the local and global existence and exponential stability of mild solutions of semi-linear systems of stochastic differential equations with infinite fractional Brownian motions and impulses are established with the Hurst index H > 1/2. In Chapter 6, we discuss some results on the existence and uniqueness of mild solutions for systems of semilinear impulsive differential equations with infinite fractional Brownian motions and Wiener processes. The approach is based on a new ver sion of the fixed point theorem due to Krasnoselskii in generalized Banach spaces. Chapter 7 deals with impulsive neutral stochastic functional differential equations driven by fBm with a noncompact semigroup. In Chapter 8, we prove some existence results based on a nonlinear alternative of the Leray-Schauder type theorem in generalized Banach spaces for the convex case; we establish a multi-valued version of Perovs fixed point theorem in a non-convex setting. In Chapter 9, we provide sufficient conditions for the existence of solutions for a class of second-order systems of stochastic impulsive differential inclusions. In Chapter 10, it is devoted to the study of a convex stochastic sweeping process with fractional Brownian motion and time delay. The approach is based on discretizing stochastic functional differential inclusions. This book is addressed to a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used as a textbook at the graduate level and as a reference book for several disciplines. The aim of this book is to present a clear and well-organized treatment of the concept behind the development of mathematics as well as solution techniques. The text material of this book is presented in a readable and mathematically solid format.Walter de Gruyter GmbH, Genthiner Straße 13, 10785 Berlin 360 pp. Englisch.…

Condizione: New. In English.

Hardcover. Condizione: Brand New. 280 pages. 10.00x7.75x1.25 inches. In Stock.

Hardcover. Condizione: New.

Hardcover. Condizione: Brand New. 155 pages. 10.28x0.83x7.76 inches. In Stock.

Condizione: Gut. Zustand: Gut | Seiten: 360 | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar.

Hardback. Condizione: New. Papyri nos 5404-5476 P. Oxy LXXXIV marks a new departure for the series: it is the first to publish texts in Egyptian. One is a Greek-Coptic paraphrase of Homer's Iliad, the other a sale of house property in Demotic accompanied by a Greek tax receipt. Section I presents extensive remains of a set of codices of the Septuagint. Section II includes a miscellany of new literary and subliterary texts: remnants of post-Classical hexameter poetry, a possible fragment of Middle comedy with an Anacreontic theme, and a cento of Homeric verses on the myth of Daphne. The seventeen papyri of Apollonius Rhodius published in Section III, providing some two dozen variant readings, confirm the Argonautica's status as the most popular epic poem in Roman Egypt after the Homeric and Hesiodic classics. The papyri of Apollonius are complemented by a painting of a wheeled float carrying the Argonauts, perhaps an llustration of a local spectacle. Section IV publishes the remaining (readable) declarations of livestock so far identified in the collection; and the largest number of accounts published from the 'Apion archive' since vol. XVI, a focus of intensive debate in the last two decades. The global figures for the estate's income, expenditure, and tax payments in the new texts offer fresh 'hard data' to steer and inform this lively discussion.…

Condizione: New.

Hardback. Condizione: New. The epic poet Dionysius, who probably flourished in the first century CE, is a key transitional figure in the history of Greek poetry, sharing stylistic and thematic tendencies with both the learned Hellenistic tradition and the monumental epic poetry of the later Roman period. His Bassarica is the earliest known poem on the conquest of India by the god Dionysus and was an important model of Nonnus' Dionysiaca. His Gigantias related the battle of the giants against the Olympian gods and legends surrounding it, with particular focus on the figure of Heracles. This is the most comprehensive edition to date of his poetry, expanding the number of fragments available and providing a more reliable text based on a fresh inspection of the papyri. The volume includes a substantial introduction contextualising the poetry, a facing English translation of the text, and a detailed linguistic and literary commentary.…

Hardback. Condizione: New. Graeco-Roman Memoirs 98This volume presents Oxyrhynchus Papyri nos. 5101-5126, which include an early and textually valuable copy of the Septuagint Psalms, five hexameter poems and diverse documents from the Roman and Byantine periods.5101, probably the earliest extant copy of the Septuagint Psalms, is of considerable textual interest, including use of the Tetragrammaton for the divine name.5102 includes tantalising fragments of a Hellenistic mythological poem echoing Callimachus and Apollonius Rhodius, possibly depicting Hermes and Artemis in a pastoral setting. 5103, if correctly attributed to Dionysius' Bassarica, offers a new, earlier, chronological marker. 5104 and 5105 feature later narratives centered on Aphrodite; notably, 5105 depicts her descending to Earth to retrieve Poppaea Sabina from Nero, who must reluctantly bid farewell to her husband and take her place among the stars. 5106 exemplifies hexameters used for moral exhortation, emphasising moral purity and the afterlife.5111 is a perplexing petition from temple officials with notable realia. 5114 publishes a new Severan consitution on intervals between successive appointments. 5116 records the earliest mention of Saloninus Caesar. 5118 reports proceedings at a Nile-god sanctuary. 5119 documents a man from Eleutheropolis, Palestine, residing in the Oxyrhynchite nome. 5123 reveals the estate of Apion purchasing wine from two of its coloni adscripticii before harvest, indicating more complex economic relations between estate and labourers than traditionally allowed.…

Condizione: New. 2019. Hardcover. . . . . .

Hardcover. Condizione: Brand New. 352 pages. 9.00x5.50x0.75 inches. In Stock.