Potential bounds in nonpotential two-point boundary-value problems

Krasnosel'skii, Mark and Mennicken, Reinhard and Rachinskii, Dmitrii (1997) Potential bounds in nonpotential two-point boundary-value problems. MATHEMATISCHE NACHRICHTEN, 188 (1). pp. 203-218. ISSN 0025-584X, 1522-2616

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Abstract

New conditions are suggested for the existence of solutions of two-point boundary-value problems. The situation is studied when monotone bounds of nonlinear terms do not guarantee the solvability of the problems. The approach developed is a combination of variational methods, simple fixed point principles, and methods of partially ordered spaces.

Item Type: Article
Uncontrolled Keywords: potential bound; two-point boundary-value problem; variational method; partial ordering; fractional powers of operators
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 24 May 2023 09:39
Last Modified: 24 May 2023 09:39
URI: https://pred.uni-regensburg.de/id/eprint/51231

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