MATHEMATICA BOHEMICA, Vol. 136, No. 4, pp. 377-384, 2011

Some estimates for the minimal eigenvalue of the Sturm-Liouville problem with third-type boundary conditions

Elena Karulina

Elena Karulina, Moscow State University of Economics, Statistics and Informatics, Moskva, 119501, Russia, e-mail: KarulinaES@yandex.ru

Abstract: We consider the Sturm-Liouville problem with symmetric boundary conditions and an integral condition. We estimate the first eigenvalue $\lambda_1$ of this problem for different values of the parameters.

Keywords: Sturm-Liouville problem, minimal eigenvalue

Classification (MSC 2010): 34B24, 34L15

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