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Oscillation and asymptotic behavior of second order neutral differential equations
Annali di Matematica Pura ed Applicata, 1987Consider the second- order neutral delay differential equation $$\frac{{d^2 }}{{dt^2 }}[y(t) + P(t - \tau )] + Q(t)y(t - \sigma ) = 0,t \geqq t_0 ,$$ (1) where P, Q e C([t0g, ∞), R) and the delays τ and σ are nonnegative real numbers. We examined the asymptotic behavior of the nonoscillatory solutions of eq.
G. Ladas+2 more
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Asymptotic behavior of the correlation functions for a Brownian oscillator with viscous aftereffects [PDF]
Correlation functions are derived in explicit form for the asymptotic behavior at Τ→∞ for a Brownian oscillator with viscous aftereffects.
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Asymptotic Behavior of the Correlation Function of a Randomly Modulated Oscillator
Journal of the Physical Society of Japan, 1967Asymptotic behavior of the correlation function of a randomly modulated oscillator is examined. When the frequency modulation is a stationary stochastic process such as a Gaussian process or a Poisson impulse, it is proved that the correlation function approaches asymptotically to a simple exponential function, the coefficients of which can be given in
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Oscillations and asymptotic behavior of first-order neutral delay differential equations
Applicable Analysis, 1988Consider the neutral delay differential equation [display math001] In this paper we are concerned with the asymptotic behavior and the oscillatory nature of solutions of Eq. (1).
G. Ladas, S. W. Schultz, E. A. Grove
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Asymptotic behavior of the spectrum of certain problems, connected with the oscillation of fluids
Journal of Soviet Mathematics, 1988One obtains the principal term of the asymptotics of the spectrum in a series of problems of the theory of small oscillations of fluids, filling partially a container. First one discusses a certain problem of general character, the “nonlocal Steklov type problem”.
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Nonlinear time-dependent anharmonic oscillator: Asymptotic behavior and connected invariants
Journal of Mathematical Physics, 1983The motion of a particle in a potential decreasing with time as ‖X‖n is considered. Different time and space rescaling are considered in order to obtain the asymptotic solutions. The validity of adiabatic invariants is discussed. The classical critical case corresponds to the obtainment of self-similar solutions for the quantum problem.
E. Fijalkow+4 more
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Oscillation and asymptotic behavior of a class of higher order nonlinear recursive sequences
Applied Mathematics and Computation, 2006Abstract We investigate the global attractivity, the periodic behavior, and the invariant interval with the semicycles character of solutions of the equation x n + 1 = α + γ x n - 2 k + 1 Bx n - k + 1 + Cx n - 2 k + 1 , n = 0 , 1 , 2 , … for all admissible non-negative ...
M. Jaberi Douraki+4 more
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Asymptotic behavior of a harmonic oscillator driven by a generalized Mittag-Leffler noise
Physica Scripta, 2010The asymptotic behavior of a harmonic oscillator driven by a generalized Mittag-Leffler noise was studied by analyzing the generalized Langevin equation. The mean square displacement (MSD) and the velocity autocorrelation function (VACF) of a diffusing particle were obtained by using the Laplace transform method and Tauberian theorem. It was found that
Živorad Tomovski, Trifce Sandev
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