A generalized Liapunov inequality

DOI10.1016/0022-0396(73)90040-5zbMath0248.34043OpenAlexW2024810249MaRDI QIDQ2556530

William T. Reid

Publication date: 1973

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(73)90040-5

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Linear boundary value problems for ordinary differential equations (34B05) Differential inequalities involving functions of a single real variable (34A40)

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LYAPUNOV TYPE INEQUALITIES AND THEIR APPLICATIONS ON AN EIGENVALUE PROBLEM FOR DISCRETE FRACTIONAL ORDER EQUATION WITH A CLASS OF BOUNDARY CONDITIONS ⋮ Lyapunov inequalities and stability for linear Hamiltonian systems ⋮ The distance between points of a solution of a second order linear differential equation satisfying general boundary conditions ⋮ The best constant of Sobolev inequality corresponding to clamped boundary value problem ⋮ Green's function for n-n boundary value problem and an analogue of Hartman's result ⋮ Estimates for eigenvalues of quasilinear elliptic systems ⋮ Interrelations between a trace formula and Liapunov type inequalities ⋮ On a Lyapunov-type inequality for certain higher-order differential equations

Cites Work

• Oscillation criteria for linear differential systems with complex coefficients
• Generalized linear differential systems and related Riccati matrix integral equations
• A matrix Liapunov inequality
• Monotoneity Properties of Solutions of Hermitian Riccati Matrix Differential Equations
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