Controllability of second-order impulsive functional differential equations with state-dependent delay. (English) Zbl 1236.93017

Arthi, Ganesan; Balachandran, Krishnan

Bull. Korean Math. Soc. 48, No. 6, 1271-1290 (2011).

Summary: The purpose of this paper is to investigate the controllability of certain types of second order nonlinear impulsive systems with state-dependent delay. Sufficient conditions are formulated. The results are established by using a fixed point approach and the cosine function theory. Finally examples are presented to illustrate the theory.

MSC:

93B05	Controllability
34A37	Ordinary differential equations with impulses

Keywords:

controllability; impulsive differential equations; neutral differential equations; state-dependent delay