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A Liouville-Green estimate for a class of differential systems. (English) Zbl 1201.34012

Summary: We introduce a class of matrices for which the differential system \(Y'=AY\) treated by M. V. Fedoryuk in 1966 [Sov. Math., Dokl. 7, 929–932 (1966); translation from Dokl. Akad. Nauk SSSR 169, 288–291 (1966; Zbl 0154.09003)], admits a rather explicit form of solutions. Some examples are studied.

MSC:

34A30 Linear ordinary differential equations and systems
34A05 Explicit solutions, first integrals of ordinary differential equations

Citations:

Zbl 0154.09003
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