Results 141 to 150 of about 516,723 (184)

Mixed Functional Differential Equations

Journal of Mathematical Sciences, 2005
Definition: A functional-differential equation (FDE) for a function with more than one continuous arguments is called a mixed FDE (MFDE) if it contains a derivative of the unknown function with respect to one of the arguments only. MFDEs form a special subclass of ordinary Banach-space-valued DE with locally bounded right-hand side.
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On a functional differential equation

Lobachevskii Journal of Mathematics, 2017
© 2017, Pleiades Publishing, Ltd.Conditions for the existence and uniqueness of a solution to a problem for a functional differential equation are presented. A special case of this equation is a functional differential equation derived previously by the authors for the distribution density of the brightness of light in interstellar space in the case of
Evlampiev N., Sidorov A., Filippov I.
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Functional Differential Equations

Czechoslovak Mathematical Journal, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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, John R. Haddock, V. Lakshmikantham   +2 more
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Waveform Relaxation for Functional-Differential Equations

SIAM Journal on Scientific Computing, 1999
The authors study the convergence of waveform relaxation techniques for solving functional-differential equations. They derive new error estimates and obtain sharp error bounds.
Barbara Zubik-Kowal, Stefan Vandewalle
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On a Functional Differential Equation

IMA Journal of Applied Mathematics, 1971
Fox, L., Mayers, D. F., Ockendon, J. R., Tayler, A. B.   +3 more
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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.
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Functional Differential Equations

2018
The goal of this chapter is to apply the theories developed in the previous chapters to functional differential equations. In Section 7.1 retarded functional differential equations are rewritten as abstract Cauchy problems and the integrated semigroup theory is used to study the existence of integrated solutions and to establish a general Hopf ...
Pierre Magal, Shigui Ruan
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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
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Functional Differential Equations

1968
Lyapunov’s second method gives sufficient conditions for stability and asymptotic stability. This method has been extended in several directions.7,8 One of the interesting extension of this method depends basically on the fact that a function satisfying the inequality $$m'(t)\leq w(t,m(t)) \;\;\;\;\;\;\; m(t_{0})=r_{0}$$ is majorized by the ...
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