Ordinary Differential Equations With Applications (Third Edition)
Regular price
€77.99
14 days return policy
Shipping & Delivery
A01=Kuo-chang Chen
A01=Sze-bi Hsu
Author_Kuo-chang Chen
Author_Sze-bi Hsu
Brouwer Degree
Brouwer Fixed Point Theorem
Category=PBKJ
Category=PBW
Competitive System
Continuous Dependence on Parameters and Initial Values
Cooperative System
Differential Inequalities
Dulac's Criteria
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Exponential Matrix
First Integral
Floquet Theorem
Fredholm Alternatives
Fundamental Matrices
Gradient Vector Fields
Green's Functions
Hamilton-Jacobi Equation
HamiltonAcAEURA"Jacobi Equation
Hamiltonian Systems
Hamilton–Jacobi Equation
Hartman-Grobman Theorem
HartmanAcAEURA"Grobman Theorem
Hartman–Grobman Theorem
Homotopy Invariance
Hopf Bifurcation
Index Theory in the Plane
Inner and Outer Expansion
LaSalles' Invariance Principle
Levinson Smith Theorem
Liouville's Formula
Local Existence and Uniqueness of Solutions of Initial Value Problem
Lorentz Equations
Lyapunov Functions
Monotone Dynamical System
Negative Bendixson Criterion
Omega Limit Set
Orbital Asymptotic Stab
Poincare-Bendixson Theorem
Poincare-Bendixson Theorem for 3-d Competitive Systems
PoincareAcAEURA"Bendixson Theorem
PoincareAcAEURA"Bendixson Theorem for 3-d Competitive Systems
Poincare–Bendixson Theorem
Poincare–Bendixson Theorem for 3-d Competitive Systems
Poisson Bracketl
Poisson Theorem
Prufer Transformation
Regular Perturbation
Relaxation of the van der Pol Oscillator
Routh-Hurwitz Criterion
RouthAcAEURA"Hurwitz Criterion
Routh–Hurwitz Criterion
Saddle Point Property
Sard's Theorem
Singular Perturbation
Stability of Equilibrium
Stable Manifold Theorem
Sturm's Comparison Theorem
Sturm-Liouville Boundary Value Problem
SturmAcAEURA"Liouville Boundary Value Problem
Sturm–Liouville Boundary Value Problem
Symplectic Matrix
Symplectic Transform
Two-Dimensional Phase Plane Analysis
Two-Timing Method
Uniform Persistence
Uniqueness of Limit Cycle
Variation of Constant Formula
Product details
- ISBN 9789811250743
- Publication Date: 10 Jan 2023
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
Secure
checkout
Fast Shipping
Easy returns
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.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.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.
