Nagumo type existence results of Sturm-Liouville BVP for impulsive differential equations

DOI10.1016/J.NA.2011.06.047zbMath1233.34011OpenAlexW2029558190MaRDI QIDQ640196

Ruixi Liang, Zai-Ming Liu

Publication date: 17 October 2011

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.2011.06.047

zbMATH Keywords

impulsesboundary value problemdegree theoryupper and lower solutions methodNagumo conditions

Mathematics Subject Classification ID

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

Related Items (3)

The method of upper and lower solutions to impulsive differential equation with Sturm-Liouville integral boundary conditions ⋮ Multiplicity of solutions for impulsive differential equation on the half-line via variational methods ⋮ CRITICAL POINT APPROACHES FOR IMPULSIVE STURM-LIOUVILLE DIFFERENTIAL EQUATIONS WITH NONLINEAR DERIVATIVE DEPENDENCE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Positive solutions for a class of nonlocal impulsive BVPs via fixed point index
• Nonlinear boundary value problem for first order impulsive integro-differential equations of mixed type
• Dynamics of infectious diseases and pulse vaccination: Teasing apart the embedded resonance effects
• Impulsive state feedback control of a predator-prey model
• Nonlinear boundary problem of first order impulsive integro-differential equations
• Anti-periodic boundary value problems for first order impulsive functional differential equations
• Study of singular boundary value problems for second order impulsive differential equations
• On the solvability of second-order impulsive differential equations with antiperiodic boundary value conditions
• Existence of solutions for anti-periodic boundary value problems of nonlinear impulsive functional integro-differential equations of mixed type
• Multiple positive solutions of some boundary value problems
• Singular boundary value problems for first and second order impulsive differential equations
• A note on controllability of impulsive systems
• Multiplicity of solutions to two-point boundary value problems for second-order impulsive differential equations
• Impulsive boundary value problems with nonlinear boundary conditions
• Existence theory for multiple solutions to semipositone Dirichlet boundary value problems with singular dependent nonlinearities for second-order impulsive differential equations
• Positive solutions of nonlinear singular two-point boundary value problems for second-order impulsive differential equations
• On pulse vaccination strategy in the SIR epidemic model with vertical transmission
• On the Existence of Positive Solutions of Ordinary Differential Equations
• On the existence of positive solutions of nonlinear second order differential equations

This page was built for publication: Nagumo type existence results of Sturm-Liouville BVP for impulsive differential equations