Positive solutions for second order boundary value problems with derivative terms

DOI10.1002/mana.201500040zbMath1385.34024OpenAlexW2345519532MaRDI QIDQ2836146

Yongxiang Li

Publication date: 7 December 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201500040

zbMATH Keywords

conepositive solutionfixed point indexfully second-order boundary value problem

Mathematics Subject Classification ID

Degree theory for nonlinear operators (47H11) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items

Positive solutions for boundary value problems of a class of second-order differential equation system ⋮ Positive solutions of higher-order Sturm-Liouville boundary value problems with fully nonlinear terms ⋮ Necessary and sufficient condition for the existence of positive solutions of a coupled system for reaction-diffusion equations ⋮ Positive solutions for a fourth-order Riemann-Stieltjes integral boundary value problem ⋮ Existence of nontrivial solutions for a nonlinear second order periodic boundary value problem with derivative term ⋮ Extensions of Gronwall-Bellman type integral inequalities with two independent variables ⋮ Positive solutions for a class of nonlinear fractional differential equations with derivative terms

Cites Work

• Positive solutions of two-point boundary value problems for second-order differential equations with the nonlinearity dependent on the derivative
• Multiple positive solutions of nonlinear two-point boundary value problems
• Upper and lower solutions and topological degree
• On the existence of positive solutions for semilinear elliptic equations in the annulus
• Multiple positive solutions of some boundary value problems
• Positive solutions for nonlinear eigenvalue problems
• Positive solutions to second-order boundary value problems with sign-changing nonlinear terms
• Upper and lower solutions and multiplicity results
• Existence of multiple solutions for second order boundary value problems
• Multiple symmetric nonnegative solutions of second-order ordinary differential equations.
• On the existence and nonexistence of positive solutions for nonlinear Sturm--Liouville boundary value problems
• Second order ordinary differential equations with fully nonlinear two point boundary conditions
• On the Existence of Positive Solutions of Ordinary Differential Equations