Multiple positive solutions for boundary value problems of second order delay differential equations with one-dimensional \(p\)-Laplacian

DOI10.1016/J.JMAA.2006.03.028zbMath1119.34050OpenAlexW1994196831MaRDI QIDQ860977

Youyu Wang, Weigao Ge, Wenxia Zhao

Publication date: 9 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.03.028

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Boundary value problems for functional-differential equations (34K10)

Related Items (12)

Transformation technique, fixed point theorem and positive solutions for second-order impulsive differential equations with deviating arguments ⋮ Nonnegative solutions to nonlocal boundary value problems for systems of second-order differential equations dependent on the first-order derivatives ⋮ Positive solutions to second-order differential equations with dependence on the first-order derivative and nonlocal boundary conditions ⋮ A note on the existence of positive solutions of one-dimensional \(p\)-Laplacian boundary value problems ⋮ Positive solutions of one-dimensional \(p\)-Laplacian boundary value problems for fourth-order differential equations with deviating arguments ⋮ Solutions for \(p\)-Laplacian dynamic delay differential equations on time scales ⋮ Higher-order dynamic delay differential equations on time scales ⋮ Green's function and positive solutions for a second-order singular boundary value problem with integral boundary conditions and a delayed argument ⋮ Multiple solutions of boundary-value problems for fourth-order differential equations with deviating arguments ⋮ Positive solutions for fourth-order differential equations with deviating arguments and integral boundary conditions ⋮ Positive solutions for three-point one-dimensional \(p\)-Laplacian boundary value problems with advanced arguments ⋮ Positive solutions to a type of multi-point boundary value problem with delay and one-dimensional \(p\)-Laplacian

Cites Work

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• The Fredholm alternative at the first eigenvalue for the one dimensional \(p\)-Laplacian
• Eigenvalues and the one-dimensional \(p\)-Laplacian
• Three positive fixed points of nonlinear operators on ordered Banach spaces
• Multiple positive solutions to boundary value problems for second-order delay differential equations
• Multiple positive solutions for the one-dimensional singular \(p\)-Laplacian.
• A singular boundary value problem for the one-dimensional \(p\)-Laplacian
• Twin solutions to singular Dirichlet problems
• Time-mappings and multiplicity of solutions for the one-dimensional p-Laplacian
• Existence theory for single and multiple solutions to singular positone boundary value problems for the delay one-dimensional p-Laplacian
• Triple positive solutions for two-point boundary-value problems with one-dimensionalp-Laplacian
• Multiple positive solutions for some \(p\)-Laplacian boundary value problems
• A note on singular nonlinear boundary value problems for the one-dimensional \(p\)-Laplacian

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