Ordinary Differential Equations: Linear And Nonlinear Systems, Dynamical Systems And Applications
Regular price
€92.99
A01=Andrea Tellini
A01=Julian Lopez-gomez
Author_Andrea Tellini
Author_Julian Lopez-gomez
Bifurcation Diagrams
Category=PBKJ
Category=PBWH
Cauchy-Lipschitz Theory
CauchyAcAEURA"Lipschitz Theory
Comparison Method
Conservative Systems
Differential Equations
Diffusive Logistic Equation
Dynamical Systems
Energy Conservation
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Kamke's Theorem
Large Solution
Linear Differential Equations
Linear Differential Equations With Holomorphic Coefficients
Logistic Equation
Lyapunov Function
Lyapunov Stability
Mathematical Analysis
Mathematical Modelling
Models in Classical Mechanics
Models in Ecology
Models in Population Dynamics
Non-conservative Systems
Nonlinear Damped Pendulum
Nonlinear Differential Equations
Nonlinear Pendulum
Ordinary Differential Equations
Peano Theory
PoincarAfA(C)-Bendixon Theory
Poincare-Bendixon Theory
Subsolutions
Supersolutions
Product details
- ISBN 9789819812400
- Publication Date: 27 Nov 2025
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Paperback
Secure
checkout
Fast Shipping
Easy returns
The theory of ordinary differential equations is addressed in detail in this textbook, and is split into three sections: linear equations and systems, the general theory of nonlinear systems, and the theory of dynamical systems. These topics can be taken together or studied independently.In addition to standard materials on the theory of ordinary differential equations, this textbook specialises in covering non-standard materials related to this theory including the theory of linear equation and systems with holomorphic coefficients; Kneser's theorem on the complexity of the set of solutions in the absence of uniqueness; the method of sub- and supersolutions for cooperative systems; and a detailed construction of the global bifurcation diagrams for some parametric classes of one-dimensional boundary value problems, which are pivotal for applications of the theory.This is a self-contained, rigorous treatment of ordinary differential equations that is complemented by a variety of illustrating examples of the theory in practice. Many of these examples are related to models in Physics and Applied Sciences, making them suitable for students in Physics, Chemistry, Engineering, Mathematical Biology, Economics and Ecology as well as in Mathematics. Each chapter contains exercises to test students' understanding of the topic and concludes with some historical notes and further discussions.
