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

Huseynov A., Bairamov E.

Nonlinear Dynamics and Systems Theory, cilt.9, sa.1, ss.77-88, 2009 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 1
  • Basım Tarihi: 2009
  • Dergi Adı: Nonlinear Dynamics and Systems Theory
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.77-88
  • Anahtar Kelimeler: Delta and nabla derivatives, Eigenfunction, Eigenvalue, Green's function, Time scale
  • Ankara Üniversitesi Adresli: Evet

Özet

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.