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.
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.
Inhaltsangabe
1. Basic Concepts of Differential Equations 2. Uniform Convergence 3. Existence and Uniqueness Theory 4. Nonlocal Existence Theorem 5. System of First-Order Differential Equations 6. Non-Homogenous Linear Systems 7. Boundary Value Problems 8. Green's Function and Sturm Theory 9. Sturm Theory 10. The Nonlinear Theory 11. Linearization 12. Analytical and Numerical Methods for Differential Equations
1. Basic Concepts of Differential Equations 2. Uniform Convergence 3. Existence and Uniqueness Theory 4. Nonlocal Existence Theorem 5. System of First-Order Differential Equations 6. Non-Homogenous Linear Systems 7. Boundary Value Problems 8. Green's Function and Sturm Theory 9. Sturm Theory 10. The Nonlinear Theory 11. Linearization 12. Analytical and Numerical Methods for Differential Equations
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