Ordinary Differential Equations With Applications (Third Edition)

Ordinary Differential Equations With Applications (Third Edition) By Hsu, Sze-bi Published by World Scientific Publishing Company Publication Date: 2023-01-10 Subject: Mathematics Applied, Mathematics Differential Equations Ordinary, Mathematics Mathematical Analysis, Mathematics Applied, Mathematics Differential Equations - Ordinary, Mathematics Mathematical Analysis, Applied Mathematics, Differential Calculus & Equations, Differential Calculus And Equations, Differential Calculus & Equations, Applied Mathematics, Mathematics Differential Equations Ordinary, Mathematics, Differential Equations, Ordinary, Mathematics Applied, Applied, Mathematics Mathematical Analysis, Mathematical Analysis, Differential Calculus And Equations, Differential Equations, Anf: Mathematics Subject Keywords: Local Existence and Uniqueness of Solutions of Initial Value Problem; Continuous Dependence on Parameters and Initial Values; Differential Inequalities; Fundamental Matrices; Liouville's Formula; Variation of Constant Formula; Exponential Matrix; Two-Dimensional Phase Plane Analysis; Floquet Theorem; Fredholm Alternatives; Stability of Equilibrium; Saddle Point Property; Stable Manifold Theorem; Orbital Asymptotic Stab; Lyapunov Functions; Omega Limit Set; LaSalles' Invariance Principle; Gradient Vector Fields; Negative Bendixson Criterion; Dulac's Criteria; Levinson Smith Theorem; Uniqueness of Limit Cycle; Relaxation of the van der Pol Oscillator; Hopf Bifurcation; Lorentz Equations; Sturm's Comparison Theorem; Prufer Transformation; Green's Functions; Index Theory in the Plane; Brouwer Degree; Sard's Theorem; Brouwer Fixed Point Theorem; Homotopy Invariance; Regular Perturbation; Singular Perturbation; Inner and Outer Expansion; Two-Timing Method; Monotone Dynamical System; Cooperative System; Competitive System; Uniform Persistence; Hamiltonian Systems; Symplectic Matrix; First Integral; Poisson Bracketl; Poisson Theorem; Symplectic Transform; Routh–Hurwitz Criterion; Hartman–Grobman Theorem; Poincare–Bendixson Theorem; Sturm–Liouville Boundary Value Problem; Poincare–Bendixson Theorem for 3-d Competitive Systems; Hamilton–Jacobi Equation Genre: Differential Calculus & Equations, Applied Mathematics, Mathematics, Differential Equations, Ordinary, Mathematics, Applied, Mathematics, Mathematical Analysis, Differential Calculus And Equations, Applied Mathematics Target Audience: Tertiary education