The Evans function and the Weyl-Titchmarsh function | Zendy

Yuri Latushkin | Zendy; Alim Sukhtayev | Zendy

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The Evans function and the Weyl-Titchmarsh function

Author(s) -

Yuri Latushkin,

Alim Sukhtayev

Publication year - 2012

Publication title -

discrete and continuous dynamical systems - s

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 34

eISSN - 1937-1632

pISSN - 1937-1179

DOI - 10.3934/dcdss.2012.5.939

Subject(s) - eigenvalues and eigenvectors , mathematics , scalar (mathematics) , function (biology) , mathematical analysis , mathematical physics , partial differential equation , pure mathematics , physics , quantum mechanics , geometry , evolutionary biology , biology

We describe relations between the Evans function, a modern tool in the study of stability of traveling waves and other patterns for PDEs, and the classical Weyl-Titchmarsh function for singular Sturm-Liouville differential expressions and for matrix Hamiltonian systems. Also, for the scalar Schrodinger equation, we discuss a related issue of approximating eigenvalue problems on the whole line by that on finite segments.

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