Clark, Steve; Hinton, Don A Liapunov inequality for linear Hamiltonian systems. (English) Zbl 0909.34033 Math. Inequal. Appl. 1, No. 2, 201-209 (1998). Authors’ summary: “A Lyapunov type inequality is proved for a linear Hamiltonian system. This inequality allows estimates of intervals of disconjugacy. The inequality is particularly applicable to equations with oscillatory coefficients. A new criterion of stability is given for a differential equation with periodic coefficients”. Reviewer: Quingkai Kong (DeKalb) Cited in 1 ReviewCited in 19 Documents MSC: 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations 26D10 Inequalities involving derivatives and differential and integral operators 34C25 Periodic solutions to ordinary differential equations 70H05 Hamilton’s equations Keywords:Lyapunov type inequality; Hamiltonian system; oscillatory coefficients; stability; periodic coefficients PDFBibTeX XMLCite \textit{S. Clark} and \textit{D. Hinton}, Math. Inequal. Appl. 1, No. 2, 201--209 (1998; Zbl 0909.34033) Full Text: DOI