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Explicit solutions for non homogeneous Sturm Liouville operator problems. (English) Zbl 0695.47045

Summary: We study existence and uniqueness conditions for the solutions of Sturm- Liouville operator problems related to the operator differential equation \(X''-QX=F(t)\). Explicit solutions of the problem in terms of a square root of the operator Q are given.

MSC:

47E05 General theory of ordinary differential operators
34L99 Ordinary differential operators
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