Original PDF Ebook – ORDINARY DIFF EQN APPLN (3RD ED)3rd Edition -9789811250743

Original PDF Ebook – ORDINARY DIFF EQN APPLN (3RD ED)3rd Edition -9789811250743

Written in a straightforward and easily accessible style, this volume is suitable as a textbook for advanced undergraduate or first-year graduate students in mathematics, physical sciences, and engineering. The aim is to provide students with a strong background in the theories of Ordinary Differential Equations, Dynamical Systems and Boundary Value Problems, including regular and singular perturbations. It is also a valuable resource for researchers._x000D_
This volume presents an abundance of examples in physical and biological sciences, and engineering to illustrate the applications of the theorems in the text. Readers are introduced to some important theorems in Nonlinear Analysis, for example, Brouwer fixed point theorem and fundamental theorem of algebras. A chapter on Monotone Dynamical Systems takes care of the new developments in Ordinary Differential Equations and Dynamical Systems._x000D_
In this third edition, an introduction to Hamiltonian Systems is included to enhance and complete its coverage on Ordinary Differential Equations with applications in Mathematical Biology and Classical Mechanics._x000D_
Contents:_x000D_
Introduction_x000D_
Fundamental Theory_x000D_
Linear Systems_x000D_
Stability of Nonlinear Systems_x000D_
Method of Lyapunov Functions_x000D_
Two-Dimensional Systems_x000D_
Second Order Linear Equations_x000D_
The Index Theory and Brouwer Degree_x000D_
Perturbation Methods_x000D_
Introduction to Monotone Dynamical Systems_x000D_
Introduction to Hamiltonian Systems