Stability, Boundedness and periodic solutions to certain second order delay differential equations

DOI10.4067/S0716-09172017000200257zbMath1387.34097OpenAlexW2734264179MaRDI QIDQ4634461

A. S. Idowu, Peter O. Arawomo, Adeleke Timothy Ademola

Publication date: 10 April 2018

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4067/s0716-09172017000200257

zbMATH Keywords

uniform stabilitynonlinear differential equationsecond orderuniform ultimate boundednessexistence of a unique periodic solutions

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Growth, boundedness, comparison of solutions to functional-differential equations (34K12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Periodic solutions to functional-differential equations (34K13)

Related Items (7)

Periodic parabolic problem with discontinuous coefficients: Mathematical analysis and numerical simulation ⋮ Unnamed Item ⋮ Uniform-ultimate boundedness of solutions to vector Lienard equation with delay ⋮ Boundedness and asymptotic Behaviour of Solutions of some second-order nonlinear stochastic differential equations with delay ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Dynamics of a second order three species nonlinear difference system with exponents

Cites Work

• Nonoscillation, maximum principles, and exponential stability of second order delay differential equations without damping term
• Periodicity, stability, and boundedness of solutions to certain second order delay differential equations
• Boundedness and stability criteria for linear ordinary differential equations of the second order
• Existence, uniqueness and stability of periodic solutions of a Duffing equation under periodic and anti-periodic eigenvalues conditions
• Stability criteria for certain second-order delay differential equations with mixed coefficients
• The behavior of solutions of second order delay differential equations
• Stability and periodic solutions of ordinary and functional differential equations
• Stability theory and the existence of periodic solutions and almost periodic solutions
• Theory of functional differential equations. 2nd ed
• Ordinary and delay differential equations
• On the qualitative behaviour of solutions to certain second order nonlinear differential equation with delay
• Stability and boundedness of solutions to a certain second-order nonautonomous stochastic differential equation
• Stability properties of second order delay integro-differential equations
• Bounded solutions tox′′ +q(t)b(x) =f(t)
• Stability and boundedness in multi delay vector Liénard equation
• Volterra integral and differential equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Stability, Boundedness and periodic solutions to certain second order delay differential equations