Asymptotic behaviour of eigenvalues for the discontinuous boundary value problem with functional-transmission conditions

DOI10.1016/S0252-9602(17)30303-XzbMath1013.34079OpenAlexW2783062622MaRDI QIDQ701563

Mustafa Kandemir, Oktay Sh. Mukhtarov

Publication date: 9 July 2003

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(17)30303-x

zbMATH Keywords

eigenvalues discontinuous coefficients asymptotic formulas eigenvalue parameter abstract linear functionals points of discontinuity

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07)

Related Items (13)

Qualitative analysis of eigenvalues and eigenfunctions of one boundary value-transmission problem ⋮ The finite spectrum of Sturm-Liouville problems with \(n\) transmission conditions and quadratic eigenparameter-dependent boundary conditions ⋮ The finite spectrum of Sturm-Liouville problems with transmission conditions and eigenparameter-dependent boundary conditions ⋮ Generalized Fourier series as Green's function expansion for multi-interval Sturm-Liouville systems ⋮ The basis property of the system of weak eigenfunctions of a discontinuous Sturm-Liouville problem ⋮ Regular boundary value problems with a discontinuous coefficient, functional-multipoint conditions, and a linear spectral parameter ⋮ Computation of eigenfunctions of nonlinear boundary-value -transmission problems by developing some approximate techniques ⋮ The finite spectrum of Sturm-Liouville problems with transmission conditions ⋮ Weak eigenfunctions of two-interval Sturm-Liouville problems together with interaction conditions ⋮ Finite spectrum of Sturm-Liouville problems with \(n\) transmission conditions ⋮ The representation of the solution of Sturm-Liouville equation with discontinuity conditions ⋮ Irregular boundary value problems with discontinuous coefficients and the eigenvalue parameter ⋮ Some properties of eigenvalues and generalized eigenvectors of one boundary value problem

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