数学物理学报(英文版)

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STURM-LIOUVILLE PROBLEMS WITH EIGENDEPENDENT BOUNDARY AND TRANSMISSIONS CONDITIONS

Z.Akdogan M.Demirci O.Sh.Mukhtarov   

  1. Department of Mathematics, Faculty of Science-Art, Gaziosmanpa¸sa University, 60100 Tokat, Turkey
  • 出版日期:2005-10-11 发布日期:2005-10-11

STURM-LIOUVILLE PROBLEMS WITH EIGENDEPENDENT BOUNDARY AND TRANSMISSIONS CONDITIONS

Z.Akdogan M.Demirci O.Sh.Mukhtarov   

  • Online:2005-10-11 Published:2005-10-11

摘要:

The purpose of this paper is to extend some fundamental spectral properties
of regular Sturm-Liouville problems to special kind discontinuous boundary value problem,
which consist of a Sturm-Liouville equation with piecewise continuous potential together
with eigenvalue parameter on the boundary and transmission conditions. The authors
suggest their own approach for finding asymptotic approximations formulas for eigenvalues
and eigenfunctions of such discontinuous problems.

Abstract:

The purpose of this paper is to extend some fundamental spectral properties
of regular Sturm-Liouville problems to special kind discontinuous boundary value problem,
which consist of a Sturm-Liouville equation with piecewise continuous potential together
with eigenvalue parameter on the boundary and transmission conditions. The authors
suggest their own approach for finding asymptotic approximations formulas for eigenvalues
and eigenfunctions of such discontinuous problems.

中图分类号: 

  • 34L20