Differential equations. An introduction to basic concepts, results and applications

DOI10.1142/9941zbMATH Open1356.34001OpenAlexW4253592375MaRDI QIDQ5890765

Ioan I. Vrabie

Publication date: 14 June 2016

Full work available at URL: https://doi.org/10.1142/9941

zbMATH Keywords

stabilityexistenceuniquenessordinary differential equationcalculus of variationsglobal solutionsfirst integralsVolterra equationsdelay functional differential equationsintegration techniquesdifferential equations with discontinuous right-hand sidessaturated solutionscontinuous dependence on initial data and parameters

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Stability of solutions to ordinary differential equations (34D20) Explicit solutions, first integrals of ordinary differential equations (34A05) Discontinuous ordinary differential equations (34A36) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations (34-01) Volterra integral equations (45D05) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to calculus of variations and optimal control (49-01)

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