Pseudo-almost automorphic solutions to some second-order differential equations

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DOI:

https://doi.org/10.4067/S0719-06462011000300007

Abstract

In this paper we study and obtain the existence of pseudo-almost automorphic solutions to some classes of second-order abstract differential equations on a Hilbert space. To illustrate our abstract results, we discuss the existence of pseudo almost automorphic solutions to the N-dimensional Sine-Gordon boundary value problem.

Keywords

exponential stability , sectorial operator , hyperbolic semigroup , almost automorphic , pseudo-almost automorphic , autonomous second-order differential equation , Sine-Gordon equation , amenability , Banach modules , module amenability , weak module amenability , semigroup algebra , inverse semigroup
  • Toka Diagana Department of Mathematics, Howard University, 2441 6th Street N.W., Washington, D.C. 20059 - USA.
  • Ahmed Mohamed Department of Mathematics, Howard University, 2441 6th Street N.W., Washington, D.C. 20059 - USA.
  • Pages: 117–139
  • Date Published: 2011-10-01
  • Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal

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Published

2011-10-01

How to Cite

[1]
T. Diagana and A. Mohamed, “Pseudo-almost automorphic solutions to some second-order differential equations”, CUBO, vol. 13, no. 3, pp. 117–139, Oct. 2011.

Issue

Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal

Section

Articles