2010•Journal of Inner Mongolia UniversityRequires access

Indefinite Sturm-Liouville Operarors with Transmission Conditions and Spectral Parameter-dependent Boundary Conditions

Sun Jiong

Abstract

Indefinite Sturm-Liouville problems with transmission conditions and boundary conditions depending on the spectral parameter are studied.The necessary and sufficient conditions for eigenvalues are obtained.An approach of combining differential equations with differential operators is used to prove that the eigenvalues of the boundary-value problem are real,analytically simple and geometrically simple.

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Key concepts: Sturm–Liouville theory, Eigenvalues and eigenvectors, Boundary value problem, Mathematics, Mathematical analysis, Simple (philosophy), Transmission (telecommunications), Differential equation