On the Eigenvalues and Eigenfunctions of an Interface Sturm-Liouville System

Properties of Sturm-Liouville Eigenfunctions and Eigenvalues

Multiplicity of Sturm-liouville Eigenvalues

The geometric multiplicity of each eigenvalue of a self-adjoint Sturm-Liouville problem is equal to its algebraic multiplicity. This is true for regular problems and for singular problems with limit-circle endpoints, including the case when the leading coefficient changes sign.

Asymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument

1 Department of Mathematics, Faculty of Arts and Science, Namik Kemal University, 59030 Tekirdağ, Turkey 2Department of Mathematics Engineering, Istanbul Technical University, Maslak, 34469 Istanbul, Turkey 3 Department of Applied Mathematics, Pukyong National University, Busan 608-737, Republic of Korea 4Department of Mathematics, Faculty of Science and Arts, University of Gaziantep, 27310 Gaz...

Univalence conditions and Sturm-Liouville eigenvalues

Dependence of eigenvalues of Sturm-Liouville problems

The eigenvalues of Sturm-Liouville (SL) problems depend not only continuously but smoothly on boundary points. The derivative of the nth eigenvalue as a function of an endpoint satisfies a first order differential equation. This for arbitrary (separated or coupled) self-adjoint regular boundary conditions. In addition, as the length of the interval shrinks to zero all higher eigenvalues march o...