Mohamed Bouabdallah, Omar Chakrone, Mohammed Chehabi

Infinitely Many Solutions for a Second Order Impulsive Differential Equation with p-Laplacian Operator

abstract:
In this paper, by using the critical point theory, specially the fountain theorem given in [W. Zou, Variant fountain theorems and their applications. Manuscripta Math. 104 (2001), no. 3, 343-358], we prove the existence of infinitely many solutions for a second order impulsive differential equation governed by the one-dimensional p-Laplacian operator. Finally, an example is presented to illustrate our main result.

Mathematics Subject Classification: 35R12, 35J20, 35J60

Key words and phrases: p-Laplacian operator, Impulsive differential equations, Critical point theory, Fountain theorem