On the existence of positive solutions for nonlinear two-point boundary-value problems

Mennicken, R. and Rachinskii, Dmitrii (2001) On the existence of positive solutions for nonlinear two-point boundary-value problems. JOURNAL OF INEQUALITIES AND APPLICATIONS, 6 (6). pp. 599-624. ISSN 1025-5834

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Abstract

The paper suggests sufficient conditions for the existence of positive solutions to vector boundary-value problems for second-order differential equations. For potential problems we develop the approach which combines the classical variational method with methods of positive operators. The results are then applied to nonpotential problems where the nonlinearities have potential minorants and majorants.

Item Type: Article
Uncontrolled Keywords: ; positive solution; partial ordering generated by cone; positive operator; variational method
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 01 Mar 2022 10:06
Last Modified: 01 Mar 2022 10:06
URI: https://pred.uni-regensburg.de/id/eprint/41895

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