Existence and uniqueness of positive solutions to boundary value problem with increasing homeomorphism and positive homomorphism operator

DOI10.1186/1687-1847-2014-20zbMath1343.34069OpenAlexW2159755671WikidataQ59319428 ScholiaQ59319428MaRDI QIDQ738353

Chenxing Zhou, Yueqiang Song, Fenghua Miao

Publication date: 2 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-20

zbMATH Keywords

positive solutionpartially ordered setsfixed-point theorem

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (3)

Lower bound for the blow-up time for some nonlinear parabolic equations ⋮ An infinite number of nonnegative solutions for iterative system of singular fractional order Boundary value problems ⋮ Lower bounds for the blow-up time of the nonlinear non-local reaction diffusion problems in \(\mathbb{R}^{N}\) (\(N\geq3\))

Cites Work

• Existence of multiple positive solutions for multipoint boundary value problems with a one-dimensional \(p\)-Laplacian
• Fixed point theorems for weakly contractive mappings in partially ordered sets
• Existence and uniqueness of positive and nondecreasing solutions for a class of singular fractional boundary value problems
• Existence of multiple positive solutions for nonlinear \(m\)-point boundary-value \newline problems.
• Positive solutions of three-point boundary value problems for the one-dimensional \(p\)-Laplacian with infinitely many singularities.
• The existence of countably many positive solutions for nonlinear singular \(m\)-point boundary value problems
• Fixed point theorems for generalized contractions in ordered metric spaces
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• The existence of positive solutions for some nonlinear boundary value problems with linear mixed boundary conditions
• Fixed point theorems in ordered abstract spaces

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