Impulsive Differential Equations and Applications to Some Models

The book "Impulsive Differential Equations and Applications to Some Models" offers a comprehensive analysis of impulsive differential equations (IDEs), which are characterized by their often discontinuous solutions. These solutions are not integrable in the conventional sense, complicating the application of existing concepts and theorems in differential equation theory. The work aims to strengthen existing theories or develop new approaches to address the challenges associated with impulsive attributes. It is aimed at students and professionals in various fields who work with models and simulations in industry, including financial models, disaster management, and biomedical problems. By employing innovative techniques in nonlinear analysis, practical issues are addressed, including the numerical approximation of solutions to impulsive differential equations.