Jódar, Lucas Explicit solutions for non homogeneous Sturm Liouville operator problems. (English) Zbl 0695.47045 Publ. Mat., Barc. 33, No. 1, 47-57 (1989). 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 Keywords:existence and uniqueness conditions for the solutions of Sturm-Liouville operator problems; operator differential equation PDFBibTeX XMLCite \textit{L. Jódar}, Publ. Mat., Barc. 33, No. 1, 47--57 (1989; Zbl 0695.47045) Full Text: DOI EuDML