Nonlinear Integrodifferential Equations with Time Varying Delay

Open Access

Original research article

Author(s):

Kamalendra Kumar^a, Manoj Karnatak^b, Rakesh Kumar^b

^aDepartment of Mathematics, SRMS College of Engineering and Technology, Bareilly, 243001, U.P., India.
^bDepartment of Mathematics, Hindu College, Moradabad, U.P., India

Advances in the Theory of Nonlinear Analysis and its Applications 5(3), 433-444.

Received: November 22, 2020

Accepted: June 14, 2021

Published: June 16, 2021

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.

Keywords: Nonlinear integrodifferential equations; Time varying delay; Nonlocal condition; Mild and classical solution; Banach contraction theorem.

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APA Style

Kumar, K., Karnatak, M., & Kumar, R. (2021). Nonlinear integrodifferential equations with time varying delay. Advances in the Theory of Nonlinear Analysis and its Application, 5(3), 433-444.