Asymptotic behavior of the solutions of functional-differential equation with linearly transformed argument

DOI10.1007/s10958-021-05226-4zbMath1462.34101OpenAlexW4205691184WikidataQ115382176 ScholiaQ115382176MaRDI QIDQ2227214

D. V. Bel'skii, H. P. Pelyukh

Publication date: 10 February 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05226-4

zbMATH Keywords

asymptotic behaviorfundamental solutionneutral equationpantograph equationlinear non-homogeneous equationvariation of arbitrary constants

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Linear functional-differential equations (34K06) Neutral functional-differential equations (34K40)

Cites Work

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• On the asymptotic properties of the solutions of a linear functional-differential equation of neutral type with constant coefficients and linearly transformed argument
• Representation of the local general solution of a certain class of differential-functional equations
• On the asymptotic properties of solutions of some functional-differential equations
• Asymptotic bounds for the solutions of a functional-differential equation with linearly transformed argument
• On the generalized pantograph functional-differential equation
• 13.—The Functional Differential Equation y′(x) = ay(λx) + by(x)
• Asymptotic Bounds of Solutions of the Functional Differential Equation $x'(t) = ax(\lambda t) + bx(t) + f(t),\quad 0 < \lambda < 1$
• The functional-differential equation y′(t)=Ay(t) +By(qt) +Cy′(qt) +f(t)
• ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF THE FUNCTIONAL DIFFERENTIAL EQUATION y′(x) = ay(λx) + by(x)
• Asymptotic behaviour of functional-differential equations with proportional time delays
• The functional-differential equation $y'\left( x \right) = ay\left( {\lambda x} \right) + by\left( x \right)$
• On a Special Functional Equation
• The Asymptotically Periodic Behavior of the Solutions of Some Linear Functional Equations
• Asymptotic of the solution of a certain class of functional-differential equations

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