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The variation-of-constants formula and the general solution to degenerate neutral differential systems. (Chinese. English summary) Zbl 0962.34060

Summary: The authors study degenerate neutral differential systems; they divide them into three groups of systems, define two kinds of corresponding basic solutions, and find the general solutions to them. Then, the authors give a constant variation formula and the general solution to degenerate neutral differential systems, and give a clear-cut expression for the general solution. The results perfectly extend the fundamental theory of ordinary differential equations and delay differential equations.

MSC:

34K40 Neutral functional-differential equations
34K17 Transformation and reduction of functional-differential equations and systems, normal forms
34A09 Implicit ordinary differential equations, differential-algebraic equations
34K06 Linear functional-differential equations
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