Asymptotic behavior of a differential operator with discontinuities at two points | Zendy

Yang Qiuxia | Zendy; Wang Wanyi | Zendy

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Asymptotic behavior of a differential operator with discontinuities at two points

Author(s) -

Yang Qiuxia,

Wang Wanyi

Publication year - 2010

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1361

Subject(s) - mathematics , eigenfunction , operator (biology) , differential operator , classification of discontinuities , boundary value problem , completeness (order theory) , mathematical analysis , semi elliptic operator , green's function , sturm–liouville theory , function (biology) , eigenvalues and eigenvectors , biochemistry , physics , chemistry , repressor , quantum mechanics , evolutionary biology , biology , transcription factor , gene

In this paper, we study a Sturm–Liouville operator with eigenparameter‐dependent boundary conditions and transmission conditions at two interior points. By establishing a new operator A associated with the problem, we prove that the operator A is self‐adjoint in an appropriate space H , discuss completeness of its eigenfunctions in H , and obtain its Green function. Copyright © 2010 John Wiley & Sons, Ltd.

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