Existence results for impulsive hyperbolic differential inclusions

Abstract

In this article we investigate the existence of solutions for second order impulsive hyperbolic differential inclusions in separable Banach spaces. By using suitable fixed point theorems, we study the case when the multi-valued map has convex and non-convex values.

Keywords:

• Impulsive hyperbolic differential inclusions
• Fixed point
• Measurable selections
• Compact map
• Contraction map
• Banach space
• AMS (MOS) Subject Classifications
• 34A37
• 3460
• 34G20
• 35R10
• 47H20

Notes

^*E-mail: [email protected]

^‡E-mail: [email protected]

Additional information

Notes on contributors

M. Benchohra*

*E-mail: [email protected]

S.K. Ntouyas‡

‡E-mail: [email protected]