Riesz basis property of the system of eigenfunctions for a non-linear problem of Sturm-Liouville type

DOI10.1070/SM2000v191n03ABEH000461zbMath0961.34072MaRDI QIDQ4515781

Peter E. Zhidkov

Publication date: 23 November 2000

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

Riesz basisSturm-Liouville problemBari basis

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (11)

On the eigenvalues of a nonlinear spectral problem ⋮ On the problem of propagation of nonlinear coupled TE-TM waves in a layer ⋮ The spectral properties of some nonlinear operators of Sturm-Liouville type ⋮ Weak eigenfunctions of two-interval Sturm-Liouville problems together with interaction conditions ⋮ On an inverse eigenvalue problem for a semilinear Sturm-Liouville operator ⋮ On the property of being a basis for a denumerable set of solutions of a nonlinear Schrödinger-type boundary-value problem ⋮ On the existence, uniqueness, and basis properties of radial eigenfunctions of a semilinear second-order elliptic equation in a ball ⋮ Integral dispersion equation method to solve a nonlinear boundary eigenvalue problem ⋮ On the eigenfunction expansions associated with semilinear Sturm-Liouville-type problems ⋮ An analog of the Fourier transform associated with a nonlinear one-dimensional Schrödinger equation ⋮ Some properties of eigenvalues and generalized eigenvectors of one boundary value problem

This page was built for publication: Riesz basis property of the system of eigenfunctions for a non-linear problem of Sturm-Liouville type