Singular Initial Value Problem for a System of Integro-Differential Equations

Analytical properties like existence, uniqueness, and asymptotic behavior of solutions are studied for the following singular initial value problem: gi(t)yi′(t)=aiyi(t)(1+fi(t,y(t),∫0+tKi(t,s,y(t),y(s))ds)),   yi(0+)=0,   t∈(0, t0], where y=(y1, …, yn),   ai>0,  ...

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Bibliographic Details
Main Authors: Zdeněk Šmarda, Yasir Khan
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/918281