Variational method to differential equations with instantaneous and non-instantaneous impulses

DOI10.1016/j.aml.2019.02.034zbMath1418.34036OpenAlexW2921756308MaRDI QIDQ1739496

Min Zhang, Yu Tian

Publication date: 26 April 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.02.034

zbMATH Keywords

variational methodsecond-order differential equationnon-instantaneous impulseinstantaneous impulse

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

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Cites Work

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• Existence results for impulsive nonlinear fractional differential equation with mixed boundary conditions
• Existence of solutions for a second-order differential equation with non-instantaneous impulses and delay
• Stability by Lyapunov like functions of nonlinear differential equations with non-instantaneous impulses
• Critical point theory and Hamiltonian systems
• Existence and iterative method for some fourth order nonlinear boundary value problems
• Modulation instability and breathers synchronization of the nonlinear Schrödinger Maxwell-Bloch equation
• Variational approach to differential equations with not instantaneous impulses
• APPLICATIONS OF VARIATIONAL METHODS TO BOUNDARY-VALUE PROBLEM FOR IMPULSIVE DIFFERENTIAL EQUATIONS
• On a new class of abstract impulsive differential equations

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