Ordinary Differential Equations and Dynamical Systems Gerald Teschl's book is an English-language textbook that focuses on differential equations and dynamical systems. This book is suitable for beginning master's students and professionals who want to delve into the theory and applications of ordinary differential equations.
The content covers fundamental aspects of differential equations, including the existence and uniqueness of solutions, linear equations and their properties such as the Floquet theorem. In addition, qualitative methods and boundary value problems such as Sturm–Liouville problems are discussed in detail. Part of the book is devoted to dynamical systems, including the Poincaré–Bendixson theorem, attractors, and Hamiltonian systems. Finally, chaos is treated, including the Smale–Birkhoff theorem and the Melnikov method for homoclinic orbits.
With nearly three hundred exercises and applications of mathematical software, this title provides a solid and comprehensive foundation for studying differential equations and dynamical systems across various fields such as mathematics, physics, and engineering.
Series: Graduate Studies in Mathematics