Nonlinear Integrodifferential Equations with Time Varying Delay

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:5 Issue:3
Nonlinear Integrodifferential Equations with Time Varying Delay

Nonlinear Integrodifferential Equations with Time Varying Delay

Authors : Kamalendra KUMAR, Manoj KARNATAK, Rakesh KUMAR

Pages : 433-444

Doi:10.31197/atnaa.814109

View : 11 | Download : 7

Publication Date : 2021-09-30

Article Type : Research Paper

Abstract :By practicing the manner of semigroup theory and Banach contraction theorem, the existence and uniqueness of mild and classical solutions of nonlinear integrodifferential equations with time varying delay in Banach spaces is showed. Certainly, an example is revealed to justify the abstract idea. By practicing the manner of semigroup theory and Banach contraction theorem, the existence and uniqueness of mild and classical solutions of nonlinear integrodifferential equations with time varying delay in Banach spaces is showed. Certainly, an example is revealed to justify the abstract idea.
Keywords : Nonlinear integrodifferential equations, Time varying delay, Nonlocal condition, Mild and classical solution, Banach contraction theorem

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