Asymptotic behaviour of the solutions of second order functional differential equations

DOI10.1016/J.CAMWA.2011.05.010zbMath1228.34053OpenAlexW2085380151MaRDI QIDQ651478

Pedro Almenar, Lucas Jodar

Publication date: 18 December 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/38044

zbMATH Keywords

asymptoticssecond order nonlinear differential equationOpial's inequalitysecond order functional differential equation

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

• The existence of large or small solutions of linear differential equations
• Explicit bounds for the solutions of second order linear differential equations
• Improving explicit bounds for the solutions of second order linear differential equations
• New bounds for the solutions of second order linear differential equations
• On regular growth and asymptotic stability
• Asymptotic stability for ordinary differential systems with time-dependent restoring potentials
• Sur l'équation différentielle u + a(t)u = 0
• On the equation $\ddot{x} + f(t)x = 0$
• Global monotonicity and oscillation for second order differential equation
• On a certain result of Z. Opial
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