On Expansion in Eigenfunctions for Schrödinger Equation with a General Boundary Condition on Finite Time Scale

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Authors

  • Nihal YOKUŞ
  • Esra Kır ARPAT

Keywords:

Time scale, delta derivatives, nabla derivatives, self-adjoint boundary value problem, symetric Green’s function.

Abstract

In this paper we consider the operator L generated in ( , ] 2L ∇ a b by the boundary problem
where p(t) is continuous, q(t) is partial continuous, q(t) ≥ 0, h ≥ 0, H ≥ 0 . We have obtained eigenvalues and eigenfunctions of
Schrödinger Operator with a general boundary condition on finite time scale and the formula of convergent expansions in terms of the eigenfunctions
in ( , ] 2L ∇ a b space.

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Published

2019-05-31

How to Cite

YOKUŞ, N., & ARPAT, E. K. (2019). On Expansion in Eigenfunctions for Schrödinger Equation with a General Boundary Condition on Finite Time Scale. International Journal of Natural and Engineering Sciences, 4(3), 13–18. Retrieved from https://www.ijnes.org/index.php/ijnes/article/view/11

Issue

Vol. 4 No. 3 (2010): 2010-3

Section

Articles