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Functional differential equations

Applicable Analysis, 1979
Using a modification of the Tawumikhin method, the authors obtain asymptotic properties of solutions os delay differential equations. In particular using Liapunov functions we obtain sufficient conditions for solutions to approach a constant c as t→∞. Here and f has appropriate smoothness properties to guarantee extendability of solutions.
Stephen R. Bernfeldt   +2 more
openaire   +1 more source

Functional Differential Equations

Czechoslovak Mathematical Journal, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the stability of nonautonomous functional differential equation

Nonlinear Analysis: Theory, Methods & Applications, 1997
The author considers the asymptotic stability of functional-differential equations with delay of the form \[ \dot x= f(t,x),\tag{1} \] where \(f\) is a continuous mapping defined on an appropriate space. If \(x:[-h,\infty)\to \mathbb{R}^n\), \(h\geq 0\), is a continuous function, then \[ x_t(s):= x(t+ s)\quad\text{for }-h\leq s\leq 0.
openaire   +3 more sources

On a Functional Differential Equation

IMA Journal of Applied Mathematics, 1971
Fox, L.   +3 more
openaire   +5 more sources

Functional — Differential Equations

2003
In this chapter we consider one more class of problems the solution of which can be obtained by the parametric continuation method. This is the initial value problem (the Cauchy problem) for the functional differential equations. The equations with nonlocal retarded argument and integro differential equations can be included into this class of problems.
V. I. Shalashilin, E. B. Kuznetsov
openaire   +1 more source

Existence results for fractional order functional differential equations with infinite delay

Journal of Mathematical Analysis and Applications, 2008
Johnny Henderson   +2 more
exaly  

Stability Analysis of $\Theta$-Methods for Nonlinear Neutral Functional Differential Equations

SIAM Journal of Scientific Computing, 2008
Wansheng Wang, Shoufu Li
exaly  

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