Global existence for abstract nonlinear Volterra–Fredholm functional integrodifferential equation
نویسندگان
چکیده
منابع مشابه
Existence of Solutions for Nonlinear Mixed Type Integrodifferential Functional Evolution Equations with Nonlocal Conditions
and Applied Analysis 3 The evolution system R t, s is said to be equicontinuous if for all bounded set Q ⊂ X, {s → R t, s x : x ∈ Q} is equicontinuous for t > 0. x ∈ C −q, b , X is said to be a mild solution of the nonlocal problem 1.1 , if x t φ t g x t for t ∈ −q, 0 , and, for t ∈ J , it satisfies the following integral equation: x t R t, 0 [ φ 0 g x 0 ] ∫ t 0 R t, s f ( s, xs, ∫ s 0 K s, r, ...
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ژورنال
عنوان ژورنال: Demonstratio Mathematica
سال: 2012
ISSN: 2391-4661
DOI: 10.1515/dema-2013-0349