Results 231 to 240 of about 327,860 (265)
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Oscillations of neutral difference equations
Applicable Analysis, 1989We obtain sufficient conditions for the oscillatons of all solutions of the neutral difference equation where p and q are real numbers and k and l are integers.
D. A. Georgiou, E. A Grove, G. Ladas
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Sensitivity to Infinitesimal Delays in Neutral Equations
SIAM Journal on Control and Optimization, 2002Sensitivity of neutral functional-differential equations to infinitesimal changes of the delays is caused by the behavior of the essential spectrum, which is determined by the roots of an exponential polynomial. \textit{C. E. Avellar} [J. Math. Anal. Appl. 73, 434-452 (1980; Zbl 0435.30005)] have considered the case of multiple fixed and nonzero delays.
Michiels, W. +3 more
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Spline Approximations for Neutral Functional Differential Equations
SIAM Journal on Numerical Analysis, 1981Based on an abstract approximation theorem for ${\text{C}}_0 $-semigroups (Trotter–Kato theorem) we present an algorithm where linear autonomous functional-differential equations of neutral type are approximated by sequences of ordinary differential equations of increasing dimensions.
Kappel, F., Kunisch, K.
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On Some Conjectures on Neutral Differential Equations
Canadian Mathematical Bulletin, 1991AbstractIn [2], Ladas and Sficas made two conjectures about the asymptotic behavior of solutions of some neutral differential equations. In this paper we confirm that these conjectures are indeed correct.
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Neutral Autonomous Functional Equations with Quadratic Cost
SIAM Journal on Control, 1974In this paper a control problem for neutral functional equations with a quadratic cost function is considered. It is shown that the optimal control is a feedback control. If the problem can be optimized over the positive half-line, then the solution of the problem is obtained by solving a linear homogeneous functional equation which possesses a type of
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Forced Oscillations in Nonlinear Neutral Differential Equations
SIAM Journal on Applied Mathematics, 1975It is known that if a periodic neutral differential equation of certain type (which includes equations like $( {d / dt} )[ {x( t ) - q \times ( {t - r} )} ] = f( {x( t ),x( {t - r} ) + p( t ),| q | < 1,p( t )} )$ periodic) is uniform ultimately bounded, then there is a periodic solution.
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Neutral Equations with Causal Operators
2002This chapter deals with existence results in various function spaces, for neutral functional differential equations of the form $$ \frac{d}{{dt}}\left[ {x(t) + \left( {Vx} \right)(t)} \right] = \left( {Wx} \right)(t),t \in \left[ {0,T} \right], $$ (25.1) where, roughly speaking, V stands for a causal operator that is a large contraction on ...
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