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Infinite interval problems abound in nature and yet until now there has been no book dealing with such problems. The main reason for this seems to be that until the 1970's for the infinite interval problem all the theoretical results available required rather technical hypotheses and were applicable only to narrowly defined classes of problems. Thus scientists mainly offer~d and used special devices to construct the numerical solution assuming tacitly the existence of a solution. In recent years a mixture of classical analysis and modern fixed point theory has been employed to study the existence of solutions to infinite interval problems. This has resulted in widely applicable results. This monograph is a cumulation mainly of the authors' research over a period of more than ten years and offers easily verifiable existence criteria for differential, difference and integral equations over the infinite interval. An important feature of this monograph is that we illustrate almost all the results with examples. The plan of this monograph is as follows. In Chapter 1 we present the existence theory for second order boundary value problems on infinite intervals. We begin with several examples which model real world phenom ena. A brief history of the infinite interval problem is also included. We then present general existence results for several different types of boundary value problems. Here we note that for the infinite interval problem only two major approaches are available in the literature.
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Recensione
'the monograph is well written and will be of interest for mathematicians and graduate students with research interest in applied mathematics.'
Zentral Blatt Mathematik, 988 (2002)
Contenuti
Preface. 1. Second Order Boundary Value Problems. 2. Higher Order Boundary Value Problems. 3. Continuous Systems. 4. Integral Equations. 5. Discrete Systems. 6. Equations in Banach Spaces. 7. Multivalued Equations. 8. Equations on Time Scales. Subject Index.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreKluwer Academic Pub
- Data di pubblicazione2001
- ISBN 10 0792369610
- ISBN 13 9780792369615
- RilegaturaCopertina rigida
- LinguaInglese
- Numero di pagine352
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Infinite Interval Problems for Differential, Difference and Integral Equations
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Kluwer Academic Publishers, Dordrecht, The Netherlands, 2001
ISBN 10: 0792369610
ISBN 13: 9780792369615
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Hardcover. Condizione: Very Good. Condizione sovraccoperta: No Dust Jacket. Hard cover published by Kluwer Academic Publishers in Dordrecht in 2001. No dust jacket. Glossy white covers with blue lettering. Book is in very good condition. Includes a review of the book from MathSciNet and a published article from Soviet Math. Dokl. titled "On the theory of functional-differential equations with locally volterra operators". 341 pages, 1.7 lbs.; Large 8vo 9" - 10" tall; 341 pages. Codice articolo MSA7172
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Infinite Interval Problems for Differential, Difference and Integral Equations
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Infinite Interval Problems for Differential, Difference and Integral Equations
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Infinite Interval Problems for Differential, Difference and Integral Equations
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Springer Netherlands Mai 2001, 2001
ISBN 10: 0792369610
ISBN 13: 9780792369615
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Infinite interval problems abound in nature and yet until now there has been no book dealing with such problems. The main reason for this seems to be that until the 1970's for the infinite interval problem all the theoretical results available required rather technical hypotheses and were applicable only to narrowly defined classes of problems. Thus scientists mainly offer~d and used special devices to construct the numerical solution assuming tacitly the existence of a solution. In recent years a mixture of classical analysis and modern fixed point theory has been employed to study the existence of solutions to infinite interval problems. This has resulted in widely applicable results. This monograph is a cumulation mainly of the authors' research over a period of more than ten years and offers easily verifiable existence criteria for differential, difference and integral equations over the infinite interval. An important feature of this monograph is that we illustrate almost all the results with examples. The plan of this monograph is as follows. In Chapter 1 we present the existence theory for second order boundary value problems on infinite intervals. We begin with several examples which model real world phenom ena. A brief history of the infinite interval problem is also included. We then present general existence results for several different types of boundary value problems. Here we note that for the infinite interval problem only two major approaches are available in the literature. 356 pp. Englisch. Codice articolo 9780792369615
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Infinite Interval Problems for Differential, Difference and Integral Equations
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Infinite interval problems abound in nature and yet until now there has been no book dealing with such problems. The main reason for this seems to be that until the 1970 s for the infinite interval problem all the theoretical results available required rath. Codice articolo 5969813
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Infinite Interval Problems for Differential, Difference and Integral Equations
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ISBN 10: 0792369610
ISBN 13: 9780792369615
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - Infinite interval problems abound in nature and yet until now there has been no book dealing with such problems. The main reason for this seems to be that until the 1970's for the infinite interval problem all the theoretical results available required rather technical hypotheses and were applicable only to narrowly defined classes of problems. Thus scientists mainly offer~d and used special devices to construct the numerical solution assuming tacitly the existence of a solution. In recent years a mixture of classical analysis and modern fixed point theory has been employed to study the existence of solutions to infinite interval problems. This has resulted in widely applicable results. This monograph is a cumulation mainly of the authors' research over a period of more than ten years and offers easily verifiable existence criteria for differential, difference and integral equations over the infinite interval. An important feature of this monograph is that we illustrate almost all the results with examples. The plan of this monograph is as follows. In Chapter 1 we present the existence theory for second order boundary value problems on infinite intervals. We begin with several examples which model real world phenom ena. A brief history of the infinite interval problem is also included. We then present general existence results for several different types of boundary value problems. Here we note that for the infinite interval problem only two major approaches are available in the literature. Codice articolo 9780792369615
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Infinite Interval Problems for Differential, Difference and Integral Equations
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Infinite Interval Problems for Differential, Difference and Integral Equations
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