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Existence of a solution to the Dirichlet problem associated to a second-order differential equation with singularities: The method of lower and upper functions

Existence of a solution to the Dirichlet problem associated to a second-order differential... Abstract. This paper is devoted to the study of the existence of a solution to the Dirichlet boundary value problem for the second-order differential equation where the functions satisfy the local Carathéodory conditions and may have singularities both in the time (for and ) and the phase (for and ) variables. Sufficient conditions for the solvability of the above-mentioned problem are established. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Existence of a solution to the Dirichlet problem associated to a second-order differential equation with singularities: The method of lower and upper functions

Hakl, Robert; Zamora, Manuel
Georgian Mathematical Journal , Volume 20 (3) – Sep 1, 2013
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References (12)

Publisher
de Gruyter
Copyright
Copyright © 2013 by the
ISSN
1072-947X
eISSN
1572-9176
DOI
10.1515/gmj-2013-0030
Publisher site
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Abstract

Abstract. This paper is devoted to the study of the existence of a solution to the Dirichlet boundary value problem for the second-order differential equation where the functions satisfy the local Carathéodory conditions and may have singularities both in the time (for and ) and the phase (for and ) variables. Sufficient conditions for the solvability of the above-mentioned problem are established.

Journal

Georgian Mathematical Journal – de Gruyter

Published: Sep 1, 2013

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