Title of article :
Nonlocal Cauchy Problem for Integrodifferential Equationsof Sobolev Type in Banach Space
Author/Authors :
Kumar, Kamalendra Shri Ram Murti Smarak College of Engineering Technology (SRMS CET) - Department of Mathematics, India , Kumar, Rakesh Shri Ram Murti Smarak College of Engineering Technology (SRMS CET) - Department of Mathematics, India , Kumar, Rakesh Hindu College - Department of Mathematics, India
Abstract :
In this paper, we prove the existence and uniqueness of mild and strongsolutions of nonlinear integrodifferential equations of Sobolev type in Banach space.The results are obtained by using compact semigroups and the Schauder fixed pointtheorem.
Keywords :
Mild and Strong solutions , Nonlocal condition , Integrodifferential equa , tions , Compact semigroup , Schauder fixed point theorem
Journal title :
Matematika
Journal title :
Matematika
