On expansions in eigenfunctions for second order dynamic equations on time scales

Huseynov A., Bairamov E.

Nonlinear Dynamics and Systems Theory, vol.9, no.1, pp.77-88, 2009 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 1
  • Publication Date: 2009
  • Journal Name: Nonlinear Dynamics and Systems Theory
  • Journal Indexes: Scopus
  • Page Numbers: pp.77-88
  • Keywords: Delta and nabla derivatives, Eigenfunction, Eigenvalue, Green's function, Time scale
  • Ankara University Affiliated: Yes

Abstract

In this study, we explore an eigenvalue problem on a bounded time scales interval for self-adjoint second order dynamic equations with self-adjoint separated boundary conditions. Existence of the eigenvalues and eigenfunctions is shown. Next, mean square convergent and uniformly convergent expansions in eigenfunctions are established. © 2009 InforMath Publishing Group.