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Sobolev-Type Volterra-Fredholm Functional Integrodifferential Equations in Banach Spaces
Author(s) -
Kishor D. Kucche,
M. B. Dhakne
Publication year - 2014
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.v32i1.19901
Subject(s) - mathematics , sobolev space , banach space , uniqueness , mathematical analysis , semigroup , type (biology) , fixed point theorem , pure mathematics , eberlein–šmulian theorem , sobolev inequality , lp space , ecology , biology
This paper deals with the problems such as the existence, uniqueness, continuous dependence and boundedness of mild solution of Volterra-Fredholm functional integrodifferential equations of sobolev type in Banach spaces. Our analysis is based on Banach fixed point principle, the integral inequality established by B. G. Pachpatte, Gronwall-Bellman inequality and the semigroup theory

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