The existence of countably many positive solutions for some nonlinear singular three-point impulsive boundary value problems

DOI10.1016/J.NA.2009.03.016zbMath1179.34026OpenAlexW2000876839MaRDI QIDQ838056

Sihua Liang, Ji Hui Zhang

Publication date: 21 August 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.03.016

zbMATH Keywords

conesingularityfixed point theoremmultiple positive solutionsimpulsive boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (7)

Existence results for \(p\)-Laplacian boundary value problems of impulsive dynamic equations on time scales ⋮ Existence of positive solutions for \(p\)-Laplacian impulsive boundary value problems on time scales ⋮ A variational principle for three-point boundary value problems with impulse ⋮ Existence of positive solutions for nonlinear third-order \(m\)-point impulsive boundary-value problems on time scales ⋮ Infinitely many singularities and denumerably many positive solutions for a second-order impulsive Neumann boundary value problem ⋮ Existence of positive solution for impulsive boundary value problem with p‐Laplacian in Banach spaces ⋮ Existence of positive solutions for singular impulsive differential equations with integral boundary conditions

Cites Work

• Existence of multiple positive solutions for one-dimensional \(p\)-Laplacian
• The existence of countably many positive solutions for a system of nonlinear singular boundary value problems with the \(p\)-Laplacian operator
• Impulsive boundary value problems involving the one-dimensional \(p\)-Laplacian
• Periodic boundary value problems for a class of second-order impulsive integro-differential equations in Banach spaces
• A multiplicity result for a boundary value problem with infinitely many singularities
• Positive solutions of three-point boundary value problems for the one-dimensional \(p\)-Laplacian with infinitely many singularities.
• Monotone-iterative techniques of V. Lakshmikantham for a boundary value problem for systems of impulsive differential-difference equations
• Existence of solutions for second order impulsive differential equations with deviating arguments
• The existence of countably many positive solutions for nonlinear singular \(m\)-point boundary value problems
• Existence of three positive solutions for quasi-linear boundary value problem
• The existence of positive solutions for some nonlinear boundary value problems with linear mixed boundary conditions
• The existence of positive solutions for the one-dimensional $p$-Laplacian
• Multiple nonnegative solutions for second order impulsive differential equations.
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