Some New Results in Inequalities for Linear and Nonlinear Integral Equations

This book serves as an essential resource for engineers, scientists, and mathematicians engaged in the study of differential equations. This book is particularly beneficial for new researchers venturing into the realms of differential and integral equations.

The authors have meticulously adopted a triple numbering system throughout the text, which facilitates easy reference to theorems, lemmas, and equations. One of the standout features of this book is its application of the fixed-point method in exploring inequalities related to both linear and nonlinear integral equations.

The focus of the work presented in this book is primarily on a selection of inequalities for linear and non-linear integral equations. It adeptly combines these inequalities with other powerful tools, such as fixed-point theorems and the monotone iterative technique, to delve into various qualitative properties of integral equations. Key topics addressed include the existence, uniqueness, and stability of solutions.