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On existence theorems for some generalized nonlinear functional-integral equations with applications
, M. Sen, R.N. Mohapatra
Published in University of Nis
2017
Volume: 31
   
Issue: 7
Pages: 2081 - 2091
Abstract
In the present paper, utilizing the techniques of suitable measures of noncompactness in Banach algebra, we prove an existence theorem for nonlinear functional-integral equation which contains as particular cases several integral and functional-integral equations that appear in many branches of nonlinear analysis and its applications. We employ the fixed point theorems such as Darbo’s theorem in Banach algebra concerning the estimate on the solutions. We also provide a nontrivial example that explains the generalizations and applications of our main result. © 2017, University of Nis. All rights reserved.
About the journal
JournalFilomat
PublisherUniversity of Nis
ISSN03545180