Global attractivity results for nonlinear delay differential equations

DOI10.1006/jmaa.1999.6325zbMath0932.34075OpenAlexW2027679194MaRDI QIDQ1295887

Hideaki Matsunaga, Tadayuki Hara, Rinko Miyazaki

Publication date: 6 March 2000

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

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6325

zbMATH Keywords

stability theorynonlinear nonautonomous delay differential equation

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20)

Related Items

Asymptotic behavior of certain delay differential equations with forcing term., Stability theorems and existence results for periodic solutions of nonlinear impulsive delay differential equations with variable coefficients, Global attractivity of solutions of nonlinear delay differential equations with a forcing term, Stability theorems for nonlinear scalar delay differential equations, Unnamed Item, Global asymptotic behavior for delay dynamic equations, A Sufficient Condition for Global Attractivity of Nonlinear Delay Differential Equations, Global attractivity in scalar delayed differential equations with applications to population models., Global linearized stability theory for delay differential equations, Periodic Fox production harvesting models with delay, Boundedness and vanishing of solutions for a forced delay dynamic equation, On the asymptotic behavior of solutions of a nonlinear difference-differential equation, Global asymptotic behavior of solutions of a forced delay difference equation, Global attractivity for a nonlinear difference equation with variable delay, Global attractivity for scalar differential equations with small delay, Halanay inequality, Yorke 3/2 stability criterion, and differential equations with maxima

Cites Work

• Unnamed Item
• Delay differential equations: with applications in population dynamics
• On the 3/2 stability theorem for one-dimensional delay-differential equations
• The 3/2 stability theorem for one-dimensional delay-differential equations with unbounded delay
• Asymptotic theory for a class of nonautonomous delay differential equations
• Periodic solutions of some nonlinear autonomous functional differential equations
• On the delay-differential equations x'(t) + a(t)f(x(t - r(t))) = 0 and x(t) + a(t)f(x(t - r(t)))=0
• A theorem on the amplitudes of periodic solutions of differential delay equations with applications to bifurcation
• Linearized oscillations in nonautonomous delay differential equations
• Asymptotic behavior for linear delay-differential equations with periodically oscillatory coefficients
• Asymptotic stability for nonautonomous delay differential equations
• Global attractivity in nonlinear delay differential equations
• Global attractivity of the zero solution of a class of functional differential equations and its applications
• Asymptotic stability for one dimensional differential-delay equations
• On the stability for a population growth equation with time delay
• Sharp conditions for oscillations in some nonlinear nonautonomous delay differential equations
• Global Attractivity for a Population Model with Time Delay
• On the Asymptotic Behavior of Solutions of $x'(t) = - a(t)f(x(t - r(t)))$