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Functional differential equations
Applicable Analysis, 1979Using 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 tââ. Here and f has appropriate smoothness properties to guarantee extendability of solutions.
Stephen R. Bernfeldt +2 more
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Functional Differential Equations
Czechoslovak Mathematical Journal, 2002zbMATH 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, 1997The 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.
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On a Functional Differential Equation
IMA Journal of Applied Mathematics, 1971Fox, L. +3 more
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Functional â Differential Equations
2003In 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
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A Functional Equation in Differential Geometry
The Annals of Mathematics, 1931openaire +1 more source
Existence results for fractional order functional differential equations with infinite delay
Journal of Mathematical Analysis and Applications, 2008Johnny Henderson +2 more
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Stability Analysis of $\Theta$-Methods for Nonlinear Neutral Functional Differential Equations
SIAM Journal of Scientific Computing, 2008Wansheng Wang, Shoufu Li
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