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On existence theorems for some nonlinear functional-integral equations
Published in Dynamic Publishers
2016
Volume: 25
   
Issue: 3
Pages: 303 - 320
Abstract
In this paper, we present sufficient conditions for the existence of solutions of two different types of nonlinear functional-integral equations in Banach space C([0, a] × [0,6], ℝ) consisting of real functions, denned and continuous on the set [0, a] × [0,6]. The main tools used in the proof are the concept of measures of noncompactness, Petryshyn fixed point theorem and Darbo's theorem in Banach space concerning the estimate on the solutions. Finally, we establish some examples of nonlinear functional-integral equations to show that our results are applicable. ©Dynamic Publishers, Inc.
About the journal
JournalDynamic Systems and Applications
PublisherDynamic Publishers
ISSN10562176