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Variational approach to some damped Dirichlet problems with impulses
Author(s) -
Chen Huiwen,
He Zhimin
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2777
Subject(s) - mathematics , dirichlet boundary condition , dirichlet distribution , nonlinear system , boundary value problem , dirichlet problem , mathematical analysis , point (geometry) , differential equation , geometry , physics , quantum mechanics
In this paper, we study the existence of solutions for damped nonlinear impulsive differential equations with Dirichlet boundary conditions. By using critical point theory and variational methods, we give some new criteria to guarantee that the impulsive problems have at least one solution. Some recent results are extended and significantly improved. Finally, some examples are presented to illustrate our main results. Copyright © 2013 John Wiley & Sons, Ltd.