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Solution of a functional integral inclusion in Banach space

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In this paper we study the existence of weak solutions x ∈ C[I, E] for the nonlinear functional integral inclusion x(t) ∈ a(t) + ∫ t 0 F (t, s,… Click to show full abstract

In this paper we study the existence of weak solutions x ∈ C[I, E] for the nonlinear functional integral inclusion x(t) ∈ a(t) + ∫ t 0 F (t, s, g(s, x(m(s))))ds, t ∈ I = [0, T ] where E is reflexive Banach space and the set-valued function F satisfy Caratheodory condition.

Keywords: banach space; integral inclusion; functional integral

Journal Title: Fixed Point Theory
Year Published: 2018

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