Almost Periodic Solutions of Impulsive Differential Equations [electronic resource] / by Gani T. Stamov.

1 Impulsive Differential Equations and Almost Periodicity -- 2 Almost Periodic Solutions -- 3 Lyapunov Method and Almost Periodicity -- 4 Applications.

Impulsive differential equations are suitable for the mathematical simulation of evolutionary processes in which the parameters undergo relatively long periods of smooth variation followed by short-term rapid changes (that is, jumps) in their values. Processes of this type are often investigated in various fields of science and technology. The question of the existence and uniqueness of almost periodic solutions of differential equations is an age-old problem of great importance. The qualitative theory of impulsive differential equations is currently undergoing rapid development in relation to the investigation of various processes which are subject to impacts during their evolution, and many findings on the existence and uniqueness of almost periodic solutions of these equations are being made. This book systematically presents findings related to almost periodic solutions of impulsive differential equations and illustrates their potential applications.