Positive solutions for singular impulsive Dirichlet boundary value problems

DOI10.12775/TMNA.2018.017zbMath1427.34041OpenAlexW2899981792MaRDI QIDQ1741786

Liang Bai, Juan. J. Nieto

Publication date: 7 May 2019

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1541473236

zbMATH Keywords

impulsescritical pointssingular differential equationsmountain pass lemma

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Boundary value problems with impulses for ordinary differential equations (34B37)

Cites Work

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• Optimal control problem of positive solutions to second order impulsive differential equations
• Periodic solution generated by impulses for singular differential equations
• Infinitely many periodic solutions for a class of perturbed second-order differential equations with impulses
• Three solutions for second-order impulsive differential inclusions with Sturm-Liouville boundary conditions via nonsmooth critical point theory
• Existence of multiple solutions of some second-order impulsive differential equations
• Variational approach to impulsive differential equations
• Existence and exponential stability of anti-periodic solutions of Hopfield neural networks with impulses
• Critical point theory and Hamiltonian systems
• Periodic solutions of singular Lagrangian systems
• Singular boundary value problems for first and second order impulsive differential equations
• Existence criteria for singular boundary value problems with sign changing nonlinearities
• Impulsive control of multiple Lotka-Volterra systems
• Variational approach to differential equations with not instantaneous impulses
• Existence of positive solutions for \(n\)th-order nonlinear impulsive singular integro-differential equations in Banach spaces
• Periodic solutions of second order non-autonomous singular dynamical systems
• IMPULSIVE PERIODIC SOLUTIONS FOR SINGULAR PROBLEMS VIA VARIATIONAL METHODS
• APPLICATIONS OF VARIATIONAL METHODS TO BOUNDARY-VALUE PROBLEM FOR IMPULSIVE DIFFERENTIAL EQUATIONS
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Impulsive periodic solutions of first-order singular differential equations
• Multiple positive solutions of singular problems by variational methods
• Variational approaches to impulsive elastic beam equations of Kirchhoff type