A generalized Wirtinger's inequality with applications to a class of ordinary differential equations

DOI10.1155/2009/710475zbMath1360.34140OpenAlexW2168425631WikidataQ59249008 ScholiaQ59249008MaRDI QIDQ1035528

Rong Cheng, Dongfeng Zhang

Publication date: 3 November 2009

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2009/710475

zbMATH Keywords

lower bounds of periods

Mathematics Subject Classification ID

Periodic solutions to functional-differential equations (34K13) Inequalities for sums, series and integrals (26D15)

Related Items

Reconstruction of convex bodies from surface tensors ⋮ Wirtinger-type integral inequalities for interval-valued functions ⋮ A kind of sharp Wirtinger inequality ⋮ The best constants in the Wirtinger inequality

Cites Work

• A Hamiltonian with periodic orbits having several delays
• Periodic solutions of differential-delay equations with more than one delay
• Critical point theory and Hamiltonian systems
• Ordinary differential equations which yield periodic solutions of differential delay equations
• Existence of periodic solutions of one-dimensional differential-delay equations
• Uniqueness and nonuniqueness of periodic solutions of x'(t)= -g(x(t-1))
• Discrete inequalities of Wirtinger's type for higher differences
• Bifurcations of periodic solutions of delay differential equations
• Periodic solutions of delay equations with three delays via bi-Hamiltonian systems
• Multiple periodic solutions of differential delay equations via Hamiltonian systems. I
• Multiple periodic solutions of differential delay equations via Hamiltonian systems. II
• The stability of special symmetric solutions of with small amplitudes
• A Hopf Global Bifurcation Theorem for Retarded Functional Differential Equations
• Multiple periodic solutions of differential delay equations created by asymptotically linear Hamiltonian systems
• Hamiltonian symmetric groups and multiple periodic solutions of differential delay equations

This page was built for publication: A generalized Wirtinger's inequality with applications to a class of ordinary differential equations