Existence of asymptotically almost periodic solutions of integrodifferential equations

Authors

  • K. Sathiyanathan Department of Mathematics Sri Ramakrishna Mission Vidyalaya College of Arts and Science Coimbatore, Tamil Nadu, India

Abstract

In this paper, a class of semilinear integrodifferential equations of the form u′′(t) + αu′′′(t) = βAu(t) + γAu′(t) + f(t, u(t)) + Z t 0 g(t, s, u(s))ds, t, s ≥ 0, satisfying αβ < γ with prescribed initial conditions are studied. Using certain strongly continuous families in operator theory and fixed point theory, we have established some sufficient conditions for the existence and uniqueness of an asymptotically almost periodic solutions

Keywords:

Existence, asymptotically almost periodic, regularized families of bounded operators, Fixed point theory, Strongly continuous families

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Published

2013-12-31

How to Cite

K. Sathiyanathan. (2013). Existence of asymptotically almost periodic solutions of integrodifferential equations. Applied Mathematics and Computational Intelligence (AMCI), 2(2), 205–216. Retrieved from https://ejournal.unimap.edu.my/index.php/amci/article/view/75

Issue

Vol. 2 No. 2 (2013): December (2013)

Section

Articles