Variational Approach to Impulsive Differential Equations with Singular Nonlinearities
Author(s) -
Naima Daoudi-Merzagui,
Abdelkader Boucherif
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/464393
Subject(s) - mathematics , simple (philosophy) , mathematical analysis , differential equation , order (exchange) , nonlinear system , physics , philosophy , epistemology , finance , economics , quantum mechanics
We discuss the existence of periodic solutions for nonautonomous second order differential equations with singular nonlinearities. Simple sufficient conditions that enable us to obtain many distinct periodic solutions are provided. Our approach is based on a variational method
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