Results 221 to 230 of about 327,860 (265)

Oscillations of Neutral Delay Differential Equations

Canadian Mathematical Bulletin, 1986
AbstractThe oscillatory behavior of the solutions of the neutral delay differential equationwhere p, τ, and a are positive constants and Q ∊ C([t0, ∞), ℝ+), are studied.
Ladas, G., Sficas, Y. G.
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Alternative Neutral Burnout Equation

The Physics of Fluids, 1959
An alternative method of calculating the burnout condition of a thermonuclear plasma which takes explicit account of self-shielding is given. (C.J.G.)
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The neutral-fractional telegraph equation

Mathematical Modelling of Natural Phenomena, 2017
Summary: In this paper, the neutral-fractional telegraph equation is introduced and discussed. This equation is a natural fractional generalization of the conventional telegraph equation and contains two time-fractional Caputo derivatives of the orders \(\alpha\) and \(\alpha /2\), respectively, and the Riesz space-fractional derivative of the order \(\
Boyadjiev, L., Luchko, Yu.
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Oscillation of Neutral Functional Differential Equations

Acta Mathematica Hungarica, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Singular risk-neutral valuation equations

Finance and Stochastics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CAROLI COSTANTINI, Cristina, PAPI M, D'IPPOLITI, FERNANDA   +2 more
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Equations of neutral type

1977
In vague terms, a neutral functional differential equation is one in which the derivatives of the past history or derivatives of functionals of the past history are involved as well as the present state of the system. When the derivatives of the past history enter in an arbitrary manner, most of the literature is devoted to existence, uniqueness, and ...
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Unstable Neutral Fuctional Differential Equations

Canadian Mathematical Bulletin, 1990
AbstractLet y be the solution of the equationwhere A, B, C, λ and η aie complex numbers and It is shown that y has exponential order equal to one if A ≠ 0 and if y is not a polynomial; otherwise, y has exponential order equal to zero. In the latter case, y and all of its derivatives are unbounded on any ray.
Alan Feldstein, Zdzislaw Jackiewicz
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OSCILLATIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

Acta Mathematica Scientia, 1992
This paper presents sufficient conditions for all the solutions of some classes of neutral functional differential equations (NFDE) to oscillate. Under consideration are (i) a class of NFDE of retarded type \[ [x(t)- px(t-\tau)]'+\sum^ n_{i=1}q_ ix(t-\sigma_ i)=0, \tag{1} \] where \(p\geq 0\), \(\tau\), \(q_ i\) and the \(\sigma_ i\) are positive ...
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Neutral Functional Differential Equations

1999
The present chapter contains some remarks and ideas concerning application of i—smooth calculus to functional differential equations of neutral type. Taking into account essential features of neutral functional differential equations (NFDE) subsequent elaboration of these aspects requires additional investigating properties of invariant differentiable ...
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LOGISTIC DIFFERENTIAL EQUATION OF NEUTRAL TYPE

1997
The following logistic neutral functional-differential equation describes some type of population dynamics (consistent with the experiment on the population of Daphnia magna) accounting retardation due to the processes of growing up and maturation: \[ N'=rN\left(1- {N(t-h)+\rho N'(t-h)\over K}\right) . \] The boundedness and asymptotic stability of its
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