Positive solutions to second-order boundary value problems with sign-changing nonlinear terms

DOI10.1016/S0022-247X(03)00141-0zbMath1030.34023MaRDI QIDQ1399387

Yongxiang Li

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

positive solutionboundary value problemfixed-point index

Mathematics Subject Classification ID

Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (20)

Nontrivial solutions of singular superlinear Sturm--Liouville problems ⋮ Abstract existence theorems of positive solutions for nonlinear boundary value problems ⋮ Existence and uniqueness of positive solutions for an integral boundary value problem ⋮ Positive solutions of sub-superlinear Sturm-Liouville problems ⋮ Nontrivial solutions of singular sublinear Sturm--Liouville problems ⋮ Existence and uniqueness of solutions for the second order periodic-integrable boundary value problem ⋮ A generalization of the cone expansion and compression fixed point theorem and applications ⋮ Existence of positive radial solutions for nonlinear elliptic equations with gradient terms in an annulus ⋮ Multiple solutions of some boundary value problems with parameters ⋮ Positive radial solutions for elliptic equations with nonlinear gradient terms in an annulus ⋮ The unique solution of boundary value problems for nonlinear second-order integral-differential equations of mixed type in Banach spaces ⋮ Positive solutions of singular Dirichlet boundary value problems with sign-changing nonlinearities ⋮ Positive periodic solutions for second-order ordinary differential equations with derivative terms and singularity in nonlinearities ⋮ Positive solutions of the nonlinear fourth-order beam equation with three parameters ⋮ On the existence and nonexistence of positive solutions for nonlinear Sturm--Liouville boundary value problems ⋮ Existence of positive solutions for operator equations and applications to semipositone problems ⋮ Positive radial solutions for elliptic equations with nonlinear gradient terms on an exterior domain ⋮ Unnamed Item ⋮ Positive solutions for second order boundary value problems with derivative terms ⋮ Second-order nonlinear singular Sturm-Liouville problems with integral boundary conditions

Cites Work

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• Multiple positive solutions of nonlinear two-point boundary value problems
• 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
• On the Existence of Positive Solutions of Ordinary Differential Equations

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