Qualitative analysis of a nonautonomous nonlinear delay differential equation

DOI10.2748/tmj/1178227425zbMath0727.34063OpenAlexW2004823701WikidataQ115227243 ScholiaQ115227243MaRDI QIDQ803376

Yang Kuang, Tao Zhao, Bing Gen Zhang

Publication date: 1991

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227425

zbMATH Keywords

boundednessoscillatory behaviorglobal existence of periodic solutionsnonautonomous nonlinear delay equationsingle population growths

Mathematics Subject Classification ID

Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (9)

Permanence and stability in non-autonomous logistic systems with infinite delay ⋮ Solvability of a neutral differential equation with deviated argument ⋮ Linearized oscillation theory for a nonlinear delay impulsive equation. ⋮ Boundary-value problems for nonlinear parabolic equations with delay and degeneration at the initial time ⋮ Global attractivity of a nonautonomous logistic difference equation with delay ⋮ On oscillation of a generalized logistic equation with several delays ⋮ Oscillation of nonlinear delay difference equations ⋮ Permanence and positive periodic solution for a single-species nonautonomous delay diffusive models ⋮ Linearized oscillation theory for a nonlinear nonautonomous delay differential equation

Cites Work

• Oscillation for first order linear differential equations with deviating arguments
• The existence of periodic solutions of \(f'(x)=-\alpha f(x-1)(1+f(x))\)
• A global bifurcation theorem with applications to functional differential equations
• Periodic solutions of some nonlinear autonomous functional differential equations
• Some periodicity criteria for functional differential equations
• Oscillation and nonoscillation in a nonautonomous delay-logistic equation
• A non-linear difference-differential equation.
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