The Sturm-Liouville problem with a nonlocal boundary condition |
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Authors: | A ?tikonas |
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Institution: | (1) Institute of Mathematics and Informatics, Akademijos 4, LT-08663 Vilnius, Lithuania |
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Abstract: | In this paper, we consider the Sturm-Liouville problem with one classical and another nonlocal boundary condition. We investigate
general properties of the characteristic function and spectrum for such a problem in the complex case. In the second part,
we investigate the case of real eigenvalues, analyze the dependence of the spectrum on parameters of the boundary condition,
and describe the qualitative behavior of all eigenvalues subject to of the nonlocal boundary condition.
Dedicated to N. S. Bakhvalov (1934–2005)
Published in Lietuvos Matematikos Rinkinys, Vol. 47, No. 3, pp. 410–428, July–September, 2007. |
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Keywords: | Sturm-Liouville problem nonlocal boundary condition eigenvalues |
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