- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 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 : 5 | Download : 1
Publication Date : 2021-09-30
Article Type : Research
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