Differential Delay Equations That Have Periodic Solutions of Long Period

DOI10.2307/2000980zbMath0718.34096OpenAlexW4247215098MaRDI QIDQ5749645

Steven A. Chapin

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2000980

zbMATH Keywords

qualitative featureslong-period periodic solutionsparametrized differential delay equation

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Cites Work

• Asymptotic analysis of functional differential equations and solutions of long period
• Global bifurcation of periodic solutions to some autonomous differential delay equations
• Asymptotic estimates for the periods of periodic solutions of a differential-delay equation
• Periodic solutions of differential-delay equations with more than one delay
• Density of slowly oscillating solutions of x(t)=-f(x(t-1))
• A global bifurcation theorem with applications to functional differential equations
• The range of periods of periodic solutions of \(x'(t)=-\alpha f(x(t-1))\)
• Uniqueness and nonuniqueness of periodic solutions of x'(t)= -g(x(t-1))
• Asymptotic analysis of differential‐delay equations and nonuniqueness of periodic solutions
• Homoclinic solution and chaos in
• Oscillation and Chaos in Physiological Control Systems
• Unnamed Item

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