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Special Solutions of Bi-Riccati Delay-Differential Equations
Delay-differential equations are functional differential equations that involve shifts and derivatives with respect to a single independent variable. Some integrability candidates in this class have been identified by various means.
Berntson, Bjorn K.
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Oscillation of functional differential equations
Some new criteria for the oscillation of functional differential equations of the form, d/dt[1/a(n-1)(t) d/dt q (t) f (x [g (t)]) = 0, dt a._1 (t) Tt -a,,-2 (t) Tt -al(t) dt are presented in this paper. @ 2005 Elsevier Ltd. All rights reserved.
Agarwal, R. P. +3 more
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We consider a class of retarded functional differential equations with preassigned moments of impulsive effect and we study the Lipschitz stability of solutions of these equations using the theory of generalized ordinary differential equations and ...
Suzete Afonso, Márcia da Silva
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Oscillation of third-order functional differential equations
The aim of this paper is to study oscillatory and asymptotic properties of the third-order nonlinear delay differential equation \begin{equation*}\label{E0} \left[a(t)\left[x''(t)\right]^{\gamma}\right]'+q(t)f(x\left[\tau(t)\right])=0.
Blanka Baculíková, Jozef Džurina
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Functional renormalization group for non-equilibrium quantum many-body problems [PDF]
We extend the concept of the functional renormalization for quantum many-body problems to non-equilibrium situations. Using a suitable generating functional based on the Keldysh approach, we derive a system of coupled differential equations for the $m ...
A. C. Hewson +15 more
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Time averaging for functional differential equations
We present a result on the averaging for functional differential equations on finite time intervals. The result is formulated in both classical mathematics and nonstandard analysis; its proof uses some methods of nonstandard analysis.
Mustapha Lakrib
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On periods of non-constant solutions to functional differential equations
We show that periods of solutions to Lipschitz functional differential equations cannot be too small. The problem on such periods is closely related to the unique solvability of the periodic value problem for linear functional differential equations ...
Eugene Bravyi
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Invariant measures for stochastic functional differential equations
We establish new general sufficient conditions for the existence of an invariant measure for stochastic functional differential equations and for exponential or subexponential convergence to the equilibrium.
Butkovsky, Oleg, Scheutzow, Michael
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Total stability in abstract functional differential equations with infinite delay
For functional differential equations with infinite delay in a Banach space, an equivalent relationship between the BC-total stability and the $\rho$-total stability is investigated, and a result due to Murakami and Yoshizawa on functional differential ...
Y. Hino, Satoru Murakami
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Oscillation of certain functional differential equations [PDF]
The author presents several sufficient conditions for all bounded solutions to the linear system of delay differential equations \[ (-1)^{m+1}\frac {d^m y_i(t)}{d t^m}+\sum _{j=1}^{n}q_{ij}y_i(t-h_{ij})=0, \quad m\geq 1,\;i=1,2,\dots,n, \] to be oscillatory.
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