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A Liapunov inequality for linear Hamiltonian systems. (English) Zbl 0909.34033

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”.

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
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