Differential-Algebraic Equations from a Functional-Analytic Viewpoint: A Survey

DOI10.1007/978-3-319-11050-9_4zbMath1333.34002OpenAlexW116737531MaRDI QIDQ3448218

Roswitha März

Publication date: 23 October 2015

Published in: Surveys in Differential-Algebraic Equations II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-11050-9_4

zbMATH Keywords

regularizationlinearizationwell-posednessFredholm operatorgeneralized inversetractability indexill-posednessouter inverseclosureleast-squares solutionnormal solvabilityNewton-Kantorovich iterationdifferential-algebraic operatornonclosed-image operatorregular differential-algebraic operator

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) General theory of ordinary differential operators (47E05) (Semi-) Fredholm operators; index theories (47A53) Nonlinear ill-posed problems (47J06) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Numerical methods for differential-algebraic equations (65L80) Nonlinear ordinary differential operators (34L30) Linear operators and ill-posed problems, regularization (47A52) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

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