Textbook on Ordinary Differential Equations: A Theoretical Approach [Hardcover]

This book aims to introduce all the necessary topics of differential equations in one book so that laymen can easily understand the subject and apply it in their research areas. This book is based on syllabi of the theory of differential equations prescribed for postgraduate students of mathematics and applied mathematics.

Professor Ramakanta Meher, a leading researcher and author, works at the Department of Mathematics, Sardar Vallabhbhai National Institute of Technology, Surat, Gujarat, India. He has authored six leading textbooks on Mathematics and published around 60 research publications in various reputed indexed international journals. Professor Meher has a combined career and research experience of more than 16 years. Fluid dynamics, linear algebra, differential and integral equations, and fractional differential equations are some of his research interests. He has supervised around 24 master's students and six doctoral students. He has coordinated over ten short term training/faculty development programs, and he has given over 20 invited speeches at several notable institutions. He is a member of several prestigious societies and a reviewer of more than 20 international journals.

Many scientific and real-world problems that occur in science, engineering, and medicine can be represented in differential equations. There is a vital role for differential equations in studying the behavior of different types of real-world problems. Thus, it becomes crucial to know the existence and uniqueness properties of differential equations and various methods of finding differential equation solutions in explicit form. It is also essential to know different kinds of differential equations in terms of eigenvalues, termed eigenvalue problems, and some special functions used in finding the solution to differential equations. The study of nonlinear problems also plays a significant role in diffelco