This book provides a systematic exposition of the results related to periodic solutions of impulsive differential equations and illustrates the potential for their application by a large number of concrete mathematical models.

Impulsive Differential Equations: Periodic Solutions and Applications (Monographs and Surveys in Pure and Applied Mathematics)

Science & Math

Simeonov, Pavel

Bainov, Drumi

Mathematics

Chapman and Hall/CRC

The question of the presence of various asymptotic properties of the solutions of ordinary differential equations arises when solving various practical problems. The investigation of these questions is still more important for impulsive differential equations which have a wider field of application than the ordinary ones.The results obtained by treating the asymptotic properties of the solutions of impulsive differential equations can be found in numerous separate articles. The systematized exposition of these results in a separate book will satisfy the growing interest in the problems related to the asymptotic properties of the solutions of impulsive differential equations and their applications.

IMPULSIVE DIFFERENTIAL EQUATIONS: ASYMPTOTIC PROPERTIES OF THE SOLUTIONS (Advances in Mathematics for Applied Sciences)

Bainov, Drumi D

World Scientific Publishing Company

Many evolution processes are characterized by the fact that at certain moments of time they experience a change of state abruptly. These processes are subject to short-term perturbations whose duration is negligible in comparison with the duration of the process. Consequently, it is natural to assume that these perturbations act instantaneously, that is, in the form of impulses. It is known, for example, that many biological phenomena involving thresholds, bursting rhythm models in medicine and biology, optimal control models in economics, pharmacokinetics and frequency modulated systems, do exhibit impulsive effects. Thus impulsive differential equations, that is, differential equations involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems.

THEORY OF IMPULSIVE DIFFERENTIAL EQUATIONS (Modern Applied Mathematics)

Lakshmikantham, Vangipuram

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