Positive solutions for the third-order boundary value problems with the second derivatives

DOI10.1186/1687-2770-2012-34zbMath1279.34040OpenAlexW2118933418WikidataQ59270942 ScholiaQ59270942MaRDI QIDQ370834

Yonhchun Liang, Yanping Guo, Yu-Jing Liu

Publication date: 20 September 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-34

zbMATH Keywords

Green's functionpositive solutionboundary value problemfixed-point index theory

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (8)

A family of singular ordinary differential equations of the third order with an integral boundary condition ⋮ Positive solutions for third-order boundary-value problems with the integral boundary conditions and dependence on the first-order derivatives ⋮ Unnamed Item ⋮ Existence results and iterative method for fully third order nonlinear integral boundary value problems. ⋮ Simple numerical methods of second- and third-order convergence for solving a fully third-order nonlinear boundary value problem ⋮ Multiple positive solutions of nonlinear third-order boundary value problems with integral boundary conditions on time scales ⋮ Positive solution for singular third-order BVPs on the half line with first-order derivative dependence ⋮ Multiple positive solutions for a second-order boundary value problem with integral boundary conditions

Cites Work

• Existence and nonexistence of positive solutions for a class of third order BVP with integral boundary conditions in Banach spaces
• Eigenvalue criteria for the existence of multiple positive solutions of high-order nonlinear BVPs
• Positive solutions for nonlinear \(n\)th-order singular eigenvalue problem with nonlocal conditions
• The existence of positive solutions for second-order multi-point BVPs with the first derivative
• Nonlocal conjugate type boundary value problems of higher order
• Positive solutions for three-point boundary value problems with dependence on the first order derivative.

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