Green's Function Method for Self-Adjoint Realization of Boundary-Value Problems with Interior Singularities | Zendy

Kadriye Aydemir | Zendy; O. Sh. Mukhtarov | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Green's Function Method for Self-Adjoint Realization of Boundary-Value Problems with Interior Singularities

Author(s) -

Kadriye Aydemir,

O. Sh. Mukhtarov

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/503267

Subject(s) - mathematics , gravitational singularity , boundary value problem , operator (biology) , sturm–liouville theory , resolvent , hilbert space , mathematical analysis , realization (probability) , green's function , self adjoint operator , function (biology) , space (punctuation) , type (biology) , pure mathematics , gene , ecology , biochemistry , chemistry , statistics , linguistics , philosophy , repressor , evolutionary biology , biology , transcription factor

The purpose of this paper is to investigate some spectral properties of Sturm-Liouville type problems with interior singularities. Some of the mathematicalaspects necessary for developing our own technique are presented. By applyingthis technique we construct some special solutions of the homogeneous equation and present a formula and the existence conditions of Green's function. Furthermore, based on these results and introducing operator treatment in adequateHilbert space, we derive the resolvent operator and prove self-adjointness ofthe considered problem

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research