Department of Mathematics, Atilim University, 06836 Incek, Ankara, Turkey. E-mail: guseinov@atilim.edu.tr
AMS subject classification: 34L10.
In this paper we investigate a Sturm–Liouville eigenvalue problem on time scales. Existence of the eigenvalues and eigenfunctions is proved. Mean square convergent and uniformly convergent expansions in the eigenfunctions are established.
Time scale, delta and nabla derivatives and integrals, Green's function, completely continuous operator, eigenfunction expansion.
