Differential Equations: Methods and Applications

Dr. Belkacem Said-Houari received his Ph.D degree in partial differential equations (hyperbolic problems and nonclassical thermoelasticity) from Annaba University (Algeria) in 2005.His research interests focus on analysis of hyperbolic PDE (e.g. in thermoelasticity, Timoshenko systems, nonlinear wave equations), integro-differential equations, parabolic and hyperbolic-parabolic PDE. He is the author or co-author of 45 research papers published in refereed international journals. He is the winner of the Abdul Hameed Shoman Award for Young Arab Researchers, Mathematics (2012). 

Preface.-1. Modelling and definitions.-
2. First-order differential equations.-
3. Linear second-order equations.-
4. Laplace Transforms.-
5. Power series solution.-
6. Systems of differential equations.-
7. Qualitative theory.-
Index.

The book presents a concise introduction to the theory of ordinary differential equations that arise in the real world, and the methods used to solve them. Each section or chapter of the book has been followed with examples and exercises with detailed solutions. ... The book is outstanding and will be excellently suited for students who have completed two semesters of differential and integral calculus and need a concise presentation of an introduction to the theory of ordinary differential equations." (Olusola Akinyele, zbMATH 1338.34003, 2016)