Deviating arguments, impulsive effects, and positive solutions for second order singular \(p\)-Laplacian equations

DOI10.1186/S13662-015-0472-0zbMath1422.34114OpenAlexW2116474414WikidataQ59432415 ScholiaQ59432415MaRDI QIDQ1794998

Xuemei Zhang, Mei-Qiang Feng

Publication date: 16 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0472-0

zbMATH Keywords

deviating argumentimpulse effectcone and partial orderingsecond order singular \(p\)-Laplacian equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Boundary value problems with impulses for ordinary differential equations (34B37) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (2)

Positive Green's function and triple positive solutions of a second-order impulsive differential equation with integral boundary conditions and a delayed argument ⋮ Positive solutions for an impulsive second-order nonlinear boundary value problem

Cites Work

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• Positive solutions of one-dimensional \(p\)-Laplacian boundary value problems for fourth-order differential equations with deviating arguments
• Bifurcation of sign-changing solutions for one-dimensional \(p\)-Laplacian with a strong singular weight: \(p\)-superlinear at \(\infty \)
• Unilateral global bifurcation phenomena and nodal solutions for \(p\)-Laplacian
• Bifurcation from infinity and nodal solutions of quasilinear problems without the signum condition
• Nonlinear eigenvalue problems for quasilinear systems
• Extremal solutions for nonlinear functional \(\varphi\)-Laplacian impulsive equations
• Exact number of solutions of stationary reaction-diffusion equations
• Impulsive boundary value problems involving the one-dimensional \(p\)-Laplacian
• Bifurcation of sign-changing solutions for one-dimensional \(p\)-Laplacian with a strong singular weight; \(p\)-sublinear at \(\infty \)
• Steady-state turbulent flow with reaction
• On the number of positive solutions of nonlinear systems.
• Eigenvalues and the one-dimensional \(p\)-Laplacian
• Positive solutions for a second-order \(p\)-Laplacian impulsive boundary value problem
• Multiplicity theorems for the Dirichlet problem involving the \(p\)-Laplacian.
• Multiple positive solutions of singular eigenvalue type problems involving the one-dimensional \(p\)-Laplacian
• Multiple positive solutions for the one-dimensional singular \(p\)-Laplacian.
• Positive solutions of a focal problem for one-dimensional \(p\)-Laplacian equations
• Existence of a positive solution for one-dimensional singular \(p\)-Laplacian problems and its parameter dependence
• A multiplicity result for \(p\)-Lapacian boundary value problems via critical points theorem
• One-dimensional \(p\)-Laplacian with a strong singular indefinite weight. I: Eigenvalue
• Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology

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