Eigenvalue criteria for existence of positive solutions of impulsive differential equations with non-separated boundary conditions

DOI10.1186/1687-2770-2013-3zbMath1284.34033OpenAlexW2171744618WikidataQ59301922 ScholiaQ59301922MaRDI QIDQ393264

Ruixi Liang, Shen, Jianhua

Publication date: 16 January 2014

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-3

zbMATH Keywords

positive solutionfixed point theoremimpulsive differential equationnon-separated periodic boundary value condition

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (3)

Existence result for impulsive differential equations with integral boundary conditions ⋮ Applications of variational methods to the impulsive equation with non-separated periodic boundary conditions ⋮ Nontrivial solutions for an impulsive differential equation with non-separated boundary conditions

Cites Work

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• Positive solutions of a nonlinear impulsive equation with periodic boundary conditions
• Existence, multiplicity, and dependence on a parameter for a periodic boundary value problem
• Multiple positive solutions of multi-point boundary value problem for second-order impulsive differential equations
• Existence and multiplicity results for nonlinear periodic boundary value problems
• On the sign of Green's function for an impulsive differential equation with periodic boundary conditions
• Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem
• Monotone-iterative techniques of V. Lakshmikantham for a boundary value problem for systems of impulsive differential-difference equations
• Positive solutions of two-point boundary value problems for systems of nonlinear second-order singular and impulsive differential equations
• Multiple positive solutions of Dirichlet boundary value problems for second order impulsive differential equations
• Existence results for nonlinear periodic boundary-value problems
• Multiple nonnegative solutions for second order impulsive differential equations.
• On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions

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