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Titlebook: Existence Theory for Nonlinear Integral and Integrodifferential Equations; Donal O’Regan,Maria Meehan Book 1998 Springer Science+Business

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Existence Theory for Nonlinear Fredholm and Volterra Integral Equations on Half-Open Intervals,, with 0 ≤ . ≤ ∞. We present a comprehensive collection of existence principles for (5.1.1) and (5.1.2). In particular we establish the existence of a solution . ∈ ..[0, .) (1 ≤ . < ∞) of both equations, the existence of a solution . ∈ ..[0, ∞) of both equations (with . = ∞), and the existence of a
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Integral Inclusions,usion . Here . : [0, .] × . → . is a multivalued map with nonempty compact values; . is a real Banach space. In section 8.2 we present some existence results for (8.1.1) and (8.1.2) when . is a Carathéodory multifunction of u.s.c. or l.s.c. type satisfying some measure of noncompactness assumption.
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Operator Equations in Banach Spaces Relative to the Weak Topology,[., .] and their references (and also Chapter 8). However only a few results have been obtained for equations in a Banach space relative to the weak topology. The first paper [.] appeared in 1971. There Szep discussed in detail the abstract Cauchy problem . with: [0, .] × . → . a weakly-weakly conti
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Stochastic Integral Equations,cular on the idea of an essential map. In section 11.3 our fixed point theory will then be applied to obtain a general existence principle for stochastic integral equations of Volterra type. This principle will then be used to establish the existence of sample solutions to a class of stochastic inte
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Periodic Solutions for Operator Equations,ator and . takes values in .. By a solution to (12.1.1) we mean a function . ∈ .[0, .] with . satisfying the equation in (12.1.1) almost everywhere and with .(0) = .(.). In this abstract setting very little is known concerning the existence of solutions to (12.1.1). In the particular case when (12.1
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Existence Theory for Nonlinear Integral and Integrodifferential Equations
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