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Zbl 1222.34031
Zhang, Dan; Dai, Binxiang
Infinitely many solutions for a class of nonlinear impulsive differential equations with periodic boundary conditions. (English)
[J] Comput. Math. Appl. 61, No. 10, 3153-3160 (2011). ISSN 0898-1221

Summary: We consider the existence of solutions for a class of nonlinear impulsive problems with periodic boundary conditions. By using critical point theory, we obtain some existence theorems of infinitely many solutions for the nonlinear impulsive problem when the impulsive functions are superlinear. We extend and improve some recent results.
MSC 2000:
*34B37 Boundary value problems with impulses
34B08 Multi-parameter boundary value problems

Keywords: impulsive differential equations; critical point theory; periodic boundary conditions

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