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  5. Existence of asymptotically almost periodic solutions of integrodifferential equations
 
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Existence of asymptotically almost periodic solutions of integrodifferential equations

Journal
https://amci.unimap.edu.my/
ISSN
2289-1315
Date Issued
2013-12
Author(s)
Sathiyanathan, K.
Sri Ramakrishna Mission Vidyalaya College of Arts and Science Coimbatore
Gopal, T. Nandha
Sri Ramakrishna Mission Vidyalaya College of Arts and Science Coimbatore
Abstract
In this paper, a class of semilinear integrodifferential equations of the formu′′(t) +αu′′′(t) =βAu(t) +γAu′(t) +f(t, u(t)) +∫t0g(t, s, u(s))ds, t, s≥0,satisfyingαβ < γwith prescribed initial conditions are studied. Using certain strongly continuousfamilies in operator theory and fixed point theory, we have established some sufficient con-ditions for the existence and uniqueness of an asymptotically almost periodic solutions
Subjects
  • Existence

  • Asymptotically almost...

  • Regularized families ...

  • Fixed point theory

  • Strongly continuous f...

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Existence of asymptotically almost periodic solutions.pdf (212.69 KB)
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