Ordinary Differential Equations with Applications

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Focusing on the central theory of differential equations, this graduate-level text emphasizes applications and connections to advanced mathematics. It covers core topics such as local existence and uniqueness, stability theories, and bifurcation theory. The latest edition expands on deterministic chaos, perturbation theory, and boundary value problems, introducing new proofs and discussions on global bifurcation and control theory. It also retains a rich selection of original exercises, enhancing the learning experience for students.