Loss of positivity in a nonlinear second order ordinary differential equations

DOI10.1016/j.na.2008.10.117zbMath1172.34301OpenAlexW1964503325MaRDI QIDQ1021740

Hongxia Fan, Ru Yun Ma

Publication date: 9 June 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.10.117

zbMATH Keywords

conefixed pointboundary value problemsnonzero solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Parameter dependent boundary value problems for ordinary differential equations (34B08) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (7)

Solutions of perturbed Hammerstein integral equations with applications ⋮ Nonlinear perturbed integral equations related to nonlocal boundary value problems ⋮ Existence of positive solutions for a thermostat model ⋮ Existence of positive solutions for \(m\)-point boundary value problem for nonlinear fractional differential equation ⋮ Nontrivial solutions of Hammerstein integral equations with reflections ⋮ Positive and increasing solutions of perturbed Hammerstein integral equations with derivative dependence ⋮ Existence of solutions of nonlinear and non-local fractional boundary value problems

Cites Work

• Unnamed Item
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• A generalized multi-point boundary value problem for second order ordinary differential equations
• On the existence of positive solutions for semilinear elliptic equations in the annulus
• Three-point boundary value problems with solutions that change sign
• Positive solutions of \(m\)-point boundary value problems
• Nonzero solutions of Hammerstein integral equations with discontinuous kernels
• Positive solutions of some three point boundary value problems via fixed point index theory.
• Loss of positivity in a nonlinear scalar heat equation
• On the solvability of two-point, second-order boundary value problems
• Positive solutions of an \(m\)-point boundary value problem with sign changing nonlinearities
• On the Existence of Positive Solutions of Ordinary Differential Equations
• Existence of positive solutions for second order m-point boundary value problems
• Positive solutions of a nonlinear \(m\)-point boundary value problem

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