Second order Volterra-Fredholm functional integrodifferential equations

M. B. Dhaknea and  Kishor D. Kuccheb,*

Second order Volterra-Fredholm functional integrodifferential equations

Authors :

M. B. Dhakne^a and Kishor D. Kucche^b,*

Author Address :

^aDepartment of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad-431 004, Maharashtra, India.
^bDepartment of Mathematics, Shivaji University, Kolhapur-416004, Maharashtra, India.

*Corresponding author

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.

DOI :

Article Info :

Received : July 03, 2012; Accepted : September 01, 2012.