Can I read Ordinary Differential Equations with Applications on EtoBox?

Ordinary Differential Equations with Applications by Carmen Charles Chicone is a nonfiction available to read on EtoBox.

What is Ordinary Differential Equations with Applications about?

This book, developed during 20 years of the author teaching differential equations courses at his home university, is designed to serve as a text for a graduate level course focused on the central theory of the subject with attention paid to applications and connections to other advanced topics in mathematics. Core theory includes local existence and uniqueness, the phase plane, Poincaré-Bendixson theory, Lyapunov and linearized stability, linear systems, Floquet theory, the Grobman–Hartman theorem, persistence of rest points and periodic orbits, the stable and center manifold theorems, and bifurcation theory. This edition includes expanded treatment of deterministic chaos, perturbation theory for periodic solutions, boundary value problems, optimization, and a wide range of their applications. In addition, it contains a formulation and new proof of a theorem on instability of rest points in the presence of an eigenvalue with positive real part, and new proofs of differential inequalities and Lyapunov's center theorem. New sections present discussions of global bifurcation, the Crandall–Rabinowitz theorem, and Alekseev's formula. Of particular note is a new chapter on basic control

Who reads Ordinary Differential Equations with Applications?

Author

Carmen Charles Chicone

Publisher

Springer Nature Switzerland AG

Published

2024

Language

EN

ISBN

9783031516511

Category

nonfiction

Subjects

Science, Mathematics, Physics