Singular Cauchy Initial Value Problem for Certain Classes of Integro-Differential Equations

The existence and uniqueness of solutions and asymptotic estimate of solution formulas are studied for the following initial value problem: g(t)y′(t)=ay(t)[1+f(t,y(t),∫0+tK(t,s,y(t),y(s))ds)], y(0+)=0, t∈(0,t0], where a>0 is a constant and t0&#x000...

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Bibliographic Details
Main Author: Zdeněk Šmarda
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/2010/810453