On a linear differential equation with a proportional delay

DOI10.1002/mana.200410498zbMath1128.34051OpenAlexW1967414873WikidataQ115405921 ScholiaQ115405921MaRDI QIDQ5296682

Jan Čermák

Publication date: 3 August 2007

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200410498

zbMATH Keywords

asymptotic estimateslinear functional differential equation

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Linear functional-differential equations (34K06)

Related Items (8)

An asymptotic property of the solutions to second order linear nonautonomous delay differential equations ⋮ Analytical study of the pantograph equation using Jacobi theta functions ⋮ Initial functions defining dominant positive solutions of a linear differential equation with delay ⋮ Existence and asymptotic behavior of positive solutions of functional differential equations of delayed type ⋮ Extension of the differential transformation method to nonlinear differential and integro-differential equations with proportional delays ⋮ Retract principle for neutral functional differential equations ⋮ Two classes of positive solutions of first order functional differential equations of delayed type ⋮ Two classes of asymptotically different positive solutions of the equation \(\dot y (t)= -f(t,y_t)\)

Cites Work

• A change of variables for functional differential equations
• Asymptotic constancy for nonhomogeneous linear differential equations with unbounded delays
• 13.—The Functional Differential Equation y′(x) = ay(λx) + by(x)
• 2.—The Matrix Functional Differential Equation y′(x) = Ay(λx) + By(x)
• On the asymptotic behavior of the pantograph equations

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