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Subjects
34-XX Ordinary differential equations
34Kxx Functional-differential and differential-difference equations
34K12 Growth, boundedness, comparison of solutions

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Displaying 1 – 5 of 5

Comparison theorems for deviated differential equations with property $A$ .

Koplatadze, R. (1998)

Memoirs on Differential Equations and Mathematical Physics

Comparison theorems for deviated differential equations with property $B$ .

Koplatadze, R. (1999)

Memoirs on Differential Equations and Mathematical Physics

Continuous dependence and differentiability of solutions with respect to initial data and right-hand side for differential equations with deviating argument.

Kharatishvili, G., Tadumadze, T., Gorgodze, N. (2000)

Memoirs on Differential Equations and Mathematical Physics

Convergence to equilibria in a differential equation with small delay

Pituk, Mihály (2002)

Proceedings of Equadiff 10

Convergence to equilibria in a differential equation with small delay

Mihály Pituk (2002)

Mathematica Bohemica

Consider the delay differential equation $\dot{x} (t) = g (x (t), x (t - r)), (1)$ where $r > 0$ is a constant and $g ℝ^{2} \to ℝ$ is Lipschitzian. It is shown that if $r$ is small, then the solutions of (1) have the same convergence properties as the solutions of the ordinary differential equation obtained from (1) by ignoring the delay.

Currently displaying 1 – 5 of 5

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