Lyapunov-type inequalities for a relativistic second-order differential equation

DOI10.1016/j.aml.2018.04.018zbMath1489.34052OpenAlexW2800700417WikidataQ115360812 ScholiaQ115360812MaRDI QIDQ1644236

Y. Aharonov

Publication date: 21 June 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.04.018

zbMATH Keywords

Lyapunov-type inequalityrelativistic equationthe Van der Pol equation with relativistic acceleration

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (1)

Nonexistence criteria of solutions for a class of second order differential equations with relativistic derivative

Cites Work

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• Existence and uniqueness of limit cycles for generalized \(\phi\)-Laplacian Liénard equations
• Periodic solutions of the forced relativistic pendulum
• Periodic oscillations of the relativistic pendulum with friction
• A new relativistic extension of the harmonic oscillator satisfying an isochronicity principle
• Periodic solutions of some autonomous Liénard equations with relativistic acceleration
• Estimate for the amplitude of the limit cycle of the Liénard equation
• Existence and multiplicity results for some nonlinear problems with singular \(\phi\)-Laplacian
• Theory of the Relativistic Oscillator

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