M. Benchohra, J. Henderson and S. K. Ntouyas

Existence results for impulsive semilinear neutral functional differential equations in Banach spaces

abstract:
In this paper, the Schaefer fixed point theorem is used to investigate the existence of mild solutions for first and second order impulsive semilinear neutral functional differential equations in Banach spaces.

Mathematics Subject Classification: 34A37, 34G20, 34K25.

Key words and phrases: Impulsive semilinear neutral functional differential equations, fixed point, Banach space.