数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (4): 1195-1213.doi: 10.1016/S0252-9602(18)30808-7

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

Ozge AKCAY   

  1. Department of Mathematics, Mersin University, Mersin 33343, Turkey
  • 收稿日期:2017-02-13 修回日期:2017-09-30 出版日期:2018-08-25 发布日期:2018-08-25
  • 作者简介:Ozge AKCAY,E-mail:ozge.akcy@gmail.com
  • 基金资助:

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

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).

摘要:

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.

关键词: Sturm-Liouville equation, discontinuity conditions, integral representation

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