Subharmonic Solutions with Prescribed Minimal Periodic for a Class of Second-Order Impulsive Functional Differential Equations
Author(s) -
Qi Wang,
Dicheng Lu,
Zhaoyue Zheng
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/457163
Subject(s) - mathematics , subharmonic , class (philosophy) , mathematical analysis , order (exchange) , critical point (mathematics) , differential equation , point (geometry) , nonlinear system , geometry , computer science , economics , physics , finance , quantum mechanics , artificial intelligence
By using critical point theory and variational methods, we investigate the subharmonic solutions with prescribed minimal period for a class of second-order impulsive functional differential equations. The conditions for the existence of subharmonic solutions are established. In the end, we provide an example to illustrate our main results
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