Second order Volterra-Fredholm functional integrodifferential equations

M. B. Dhakne; Kishor D. Kucche

doi:10.26637/mjm0101/001

Abstract

This paper deals with the study of global existence of solutions to initial value problem for second order nonlinear mixed Volterra-Fredholm functional integrodifferential equations in Banach spaces. The technique used in our analysis is based on an application of the topological transversality theorem known as Leray-Schauder alternative and rely on a priori bounds of solution .

Keywords:

Global solution, Volterra-Fredholm functional integrodifferential equation, Leray-Schauder alternative, Fixed point, Priori bounds

Mathematics Subject Classification:

47H10, 35R10

Authors Imprint References Funding Related Articles Downloads

M. B. Dhakne Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad-431 004, Maharashtra, India.
Kishor D. Kucche Department of Mathematics, Shivaji University, Kolhapur-416004, Maharashtra, India . https://orcid.org/0000-0002-7141-330X

Pages: 1-7
Date Published: 01-09-2012
Vol. 1 No. 1 (2012): Inaugural Issue :: Malaya Journal of Matematik (MJM)

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