Acta mathematica scientia,Series B ›› 2018, Vol. 38 ›› Issue (4): 1195-1213.doi: 10.1016/S0252-9602(18)30808-7

• Articles • Previous Articles     Next Articles

THE REPRESENTATION OF THE SOLUTION OF STURM-LIOUVILLE EQUATION WITH DISCONTINUITY CONDITIONS

Ozge AKCAY   

  1. Department of Mathematics, Mersin University, Mersin 33343, Turkey
  • Received:2017-02-13 Revised:2017-09-30 Online:2018-08-25 Published:2018-08-25
  • Supported by:

    This work is supported by the Scientific and Technological Research Council of Turkey (TÜB?TAK).

Abstract:

The aim of this paper is to construct the integral representation of the solution of Sturm-Liouville equation with eigenparameter-dependent discontinuity conditions at an interior point of the finite interval. Moreover, we examine the properties of the kernel function of this integral representation and obtain the partial differential equation provided by this kernel function.

Key words: Sturm-Liouville equation, discontinuity conditions, integral representation

Trendmd