Existence and multiplicity of solutions for second-order Dirichlet problems with nonlinear impulses

DOI10.1515/MATH-2022-0519zbMath1503.34066OpenAlexW4312933890MaRDI QIDQ2111838

Mantang Ma, Ru Yun Ma

Publication date: 17 January 2023

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2022-0519

zbMATH Keywords

impulsive differential equations\textit{a priori} boundsbifurcation from infinitynear resonance

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23) Boundary value problems with impulses for ordinary differential equations (34B37)

Cites Work

• Unnamed Item
• Unnamed Item
• Multiple solutions for impulsive problems with non-autonomous perturbations
• Existence and multiplicity of solutions for second-order impulsive differential equations with Dirichlet problems
• On the seoncd-order equations with nonlinear impulses. Fredholm alternative type results
• Positive solutions for second order impulsive differential equations involving Stieltjes integral conditions
• Multiple positive solutions of singular two point boundary value problems for second order impulsive differential equations
• Positive solutions for second order impulsive differential equations with integral boundary conditions
• Multiplicity results using bifurcation techniques for a class of boundary value problems of impulsive differential equations
• On the solvability of periodic boundary value problems with impulse
• Study of singular boundary value problems for second order impulsive differential equations
• New results for the periodic boundary value problem for impulsive integro-differential equations
• An application of variational methods to Dirichlet boundary value problem with impulses
• Existence and multiplicity results for a class of nonlinear elliptic boundary value problems at resonance
• Existence and multiplicity results for nonlinear elliptic problems with linear part at resonance. The case of the simple eigenvalue
• Multiple positive solutions for a system of impulsive integral boundary value problems with sign-changing nonlinearities
• Periodic solutions for ordinary differential equations with sublinear impulsive effects
• Landesman-Lazer type problems at an eigenvalue of odd multiplicity
• On an elliptic boundary value problem at double resonance
• Positive solutions for an impulsive second-order nonlinear boundary value problem
• Multiple positive solutions of Dirichlet boundary value problems for second order impulsive differential equations
• Multiplicity results for superlinear boundary value problems with impulsive effects
• Multiplicity results for a class of boundary value problems with impulsive effects
• Variational approach to some damped Dirichlet problems with impulses
• Bifurcation from infinity and multiple solutions for some Dirichlet problems with unbounded nonlinearities
• Nonlinear eigenvalue problems with the parameter near resonance

This page was built for publication: Existence and multiplicity of solutions for second-order Dirichlet problems with nonlinear impulses