Asymptotic behavior of solutions of the functional differential equation \(x'(t) =Ax(\lambda t)+Bx(t)\), \(\lambda >0\)

DOI10.1016/0022-247X(76)90082-2zbMath0336.34060WikidataQ115364650 ScholiaQ115364650MaRDI QIDQ1230158

Eng-Bin Lim

Publication date: 1976

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

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (4)

The stability of the retarded differential-difference equation (RDDE) \({\ddot x}(t)+p_ 1(t){\dot x}(t)+q_ 1(t)x(t)+p_ 2(t){\dot x}(t- r(t))+q_ 2(t)x(t-r(t))=0\) ⋮ Oscillation of a pantograph differential equation with impulsive perturbations ⋮ Some observations on the asymptotic behaviour of the solutions of the equation \(\dot x=A(t)x(\lambda t)+B(t)x(t)\) \(\lambda >0\) ⋮ The asymptotic bounds of solutions of linear delay systems

Cites Work

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• A family of solutions of the IVP for the equation \(x'(t)=ax(\lambda t), \lambda>1\)
• Differential-difference equations
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• Representations for solutions of linear functional differential equations
• Asymptotic oscillation results for solutions to first-order nonlinear differential-difference equations of advanced type
• Global solutions to certain nonlinear functional differential equations
• Forward and backward continuation for neutral functional differential equations
• ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF THE FUNCTIONAL DIFFERENTIAL EQUATION y′(x) = ay(λx) + by(x)
• The functional-differential equation $y'\left( x \right) = ay\left( {\lambda x} \right) + by\left( x \right)$
• On a Functional Differential Equation
• The Asymptotically Periodic Behavior of the Solutions of Some Linear Functional Equations
• On the Functional Equation dy/dx = f(x, y(x), y(x + h)), h > 0

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