Theory and Applications of Nonlinear Operators of Accretive and Monotone Type: 178 - Brossura

 
9780824797218: Theory and Applications of Nonlinear Operators of Accretive and Monotone Type: 178

Sinossi

This work is based upon a Special Session on the Theory and Applications of Nonlinear Operators of Accretive and Monotone Type held during the recent meeting of the American Mathematical Society in San Francisco. It examines current developments in non-linear analysis, emphasizing accretive and monotone operator theory. The book presents a major survey/research article on partial functional differential equations with delay and an important survey/research article on approximation solvability.

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Contenuti

Periodic solutions for a second order semilinear Volterra equation; metric and generalized projection operators in Banach spaces - properties and applications; the rate of asymptotic regularity is 0(1/square root of n); global existence for second order functional differential equations; iterative process for finding common fixed points of nonlinear mappings; regularity for semilinear abstract Cauchy problems; the KdV equation via semigroups; a degree for maximal monotone operators; on subjectivity of perturbed nonlinear m-accretive operators; the fixed point property and mappings which are eventually nonexpansive; approximation-solvability of semilinear equations and applications; on the approximation of zeros for locally accretive operators; quasimonotonicity and the Leray-Lions condition; on nonlinear ill-posed problems II - monotone operator equations and monotone variational inequalities; a classical hypergeometric proof of a transformation found by Ronald Bruck; periodic solutions for nonlinear 2-D wave equations; the existence of resolvents of holomorphic generators in Banach spaces; existence of solutions to partial functional differential equations with delay; zeros of weakly inward accretive mappings via A-proper maps; nonlinear wave equations with asymptotically monotone damping.

Product Description

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