Ordinary Differential Equations: Basics and Beyond

DOI10.1007/978-1-4939-6389-8zbMath1364.34003OpenAlexW2549267533MaRDI QIDQ2814744

David G. Schaeffer, John W. Cain

Publication date: 22 June 2016

Published in: Texts in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-6389-8

zbMATH Keywords

stabilityexistenceuniquenessordinary differential equationbifurcationsoscillationsglobal solutionsintegration techniquescontinuous dependence on initial data and parameters

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Mathematics for nonmathematicians (engineering, social sciences, etc.) (00A06) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations (34-01)

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