Existence and Approximation Results to the Cauchy Problem for a Class of Differential-Algebraic Equations | Zendy

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Existence and Approximation Results to the Cauchy Problem for a Class of Differential-Algebraic Equations

Author(s) -

Kai Schneider

Publication year - 1991

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/458

Subject(s) - class (philosophy) , mathematics , differential (mechanical device) , cauchy problem , algebraic number , cauchy distribution , differential equation , initial value problem , mathematical analysis , pure mathematics , physics , computer science , artificial intelligence , thermodynamics

For a class of differential -algebraic equations arising for example in modelling electrical circuits conditions are derived which ensure the existence of a unique solution of the Cauchy problem on any finite interval and its computation by means of a wave -form relaxation algorithm in case of a large system. The solution concept is understood in the sense of CaratIiodory.

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