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A general form for solvable linear time varying singular systems of differential equations. (English) Zbl 0623.34005
A well-referenced study on the solvability of the systems of the type $$E(t)x'(t)+F(t)x(t)=f(t),$$ with sufficiently smooth coefficients E, F, is presented. Necessary and sufficient conditions are also given on E(t), F(t) to insure solvability in the case when E(t), F(t) are infinitely differentiable.
Reviewer: V.C.Boffi

##### MSC:
 34A99 General theory for ordinary differential equations 34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations 34A30 Linear ordinary differential equations and systems, general
##### Keywords:
first order differential equation; solvability
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