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Eigenvalue intervals for two-point general third order differential equation
by K. R. Prasad   A. Kameswara Rao   P. Murali

Vol. 5 No. 1 (2010) P.55~P.68

ABSTRACT

Values of the parameter $\lambda$ are determined for which there exist positive solutions to the third order eigenvalue problem satisfying general two-point boundary conditions. We establish the results by applying cone theory and the Krasnosel’skii fixed point theorem.

KEYWORDS
Boundary value problem, eigenvalue interval, positive solution, cone

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 34B99, 39A99

MILESTONES