Basic theory of ordinary differential equations

zbMath0924.34001MaRDI QIDQ1297059

Yasutaka Sibuya, Po-Fang Hsieh

Publication date: 8 August 1999

Published in: Universitext (Search for Journal in Brave)

zbMATH Keywords

stabilityexistencesolutionsasymptotic behaviorsingularitiesuniquenesslinear differential equationsSturm-Liouville problemsperiodic coefficientsdecomposition theoremformal power seriesPoincaré-Bendixson theorem

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Sturm-Liouville theory (34B24) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations (34-01) Asymptotic properties of solutions to ordinary differential equations (34D05)

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