Existence of solution for nonlinear Volterra integral equations
type: Item
instance of: scholarly article
title: Existence of solution for nonlinear Volterra integral equations
zbMATH Open document ID: 0723.45009
DOI: 10.1007/BF02880961
author: S. Ilamaran
author: Krishnan Balachandran
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 1990-01-01T00:00:00Z
review text: The authors use Schauder's fixed point theorem to prove the existence of an exponentially bounded solution to the equation \[ x(t)=G(x)g(t,x(h_ 1(t)),...,x(h_ m(t)))+\int^{t}_{0}K(t,s,Tx(s))ds. \]
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 4192379
zbMATH Keywords: nonlinear Volterra integral equations
zbMATH Keywords: Schauder's fixed point theorem
zbMATH Keywords: existence
zbMATH Keywords: exponentially bounded solution
MaRDI profile type: Publication
cites work: Q3827059
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cites work: Volterra integral and differential equations
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description: scientific article; zbMATH DE number 4192379