Quasiuniqueness, uniqueness and continuability of the solutions of impulsive functional differential equations

Abstract

The initial value problem for impulsive systems of functional differential equations is considered. The times at which the impulses take place are determined by means of a countable set of hypersurfaces in the extended phase space. More precisely, these times coincide with the times at which the integral curve of problem considered meets some of the hypersurfaces. Sufficient conditions for quasiuniqueness, uniqueness and continuability of the solutions of the impulsive systems considered are given.

Keywords

• quasiuniqueness
• uniqueness
• continuability
• impulsive functional differential equations