Theory and Applications of Differential and Difference Equations

A differential equation is an equation in which an equality is expressed in terms of a function of one or more independent variables and derivatives of the function with respect to one or more of those independent variables. These equations play a prominent role in signal and system analysis because they describe the dynamic behavior of continuous-time (CT) physical systems. There are several applications of differential equations in different fields such as applied mathematics, science and engineering. The equation in which an equality is expressed in terms of a function of one or more independent variables and finite differences of the function is referred to as a difference equation. Differential and difference equations, both are essential for signal and system analysis because they can explain the dynamic behavior of discrete-time (DT) systems. Different approaches, evaluations, methodologies, and advanced studies on differential and difference equations have been included in this book. Its extensive content will provide the students of advanced mathematics with a thorough understanding of the subject.