Results 31 to 40 of about 168,051 (190)
Slowly modulated oscillations in nonlinear diffusion processes [PDF]
It is shown here that certain systems of nonlinear (parabolic) reaction-diffusion equations have solutions which are approximated by oscillatory functions in the form R(ξ - cτ)P(t^*) where P(t^*) represents a sinusoidal oscillation on a fast time scale t*
Cohen, Donald S. +2 more
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Dynamics for Nonlinear Difference Equation xn+1=(αxn−k)/(β+γxn−lp)
We mainly study the global behavior of the nonlinear difference equation in the title, that is, the global asymptotical stability of zero equilibrium, the existence of unbounded solutions, the existence of period two solutions, the existence of ...
Dongmei Chen, Xianyi Li, Yanqin Wang
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Structure of Non-Oscillatory Solutions for Second Order Dynamic Equations on Time Scales
In this paper, we make a detailed analysis of the structure of non-oscillatory solutions for second order superlinear and sublinear dynamic equations on time scales.
Yong Zhou, Bashir Ahmad, Ahmed Alsaedi
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Oscillatory processes in the theory of particulate formation in supersaturated chemical solutions [PDF]
We study a nonlinear problem which occurs in the theory of particulate formation in supersaturated chemical solutions. Mathematically, the problem involves the bifurcation of time-periodic solutions in an initial-boundary value problem involving a ...
Cohen, Donald S., Keener, James P.
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On numerical solution to fractional non-linear oscillatory equations [PDF]
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Gokdogan, Ahmet +2 more
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Criticality of inhomogeneous Nariai-like cosmological models [PDF]
In this paper, we construct and study solutions of Einstein's equations in vacuum with a positive cosmological constant which can be considered as inhomogeneous generalizations of the Nariai cosmological model.
Beyer, Florian +2 more
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We focus on studying approximate solutions of damped oscillatory solutions of generalized KdV-Burgers equation and their error estimates. The theory of planar dynamical systems is employed to make qualitative analysis to the dynamical systems which ...
Weiguo Zhang, Xiang Li
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Collective phase description of oscillatory convection
We formulate a theory for the collective phase description of oscillatory convection in Hele-Shaw cells. It enables us to describe the dynamics of the oscillatory convection by a single degree of freedom which we call the collective phase. The theory can
KAWAMURA, YOJI +3 more
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A nonlinear elliptic problem with terms concentrating in the boundary [PDF]
In this paper we investigate the behavior of a family of steady state solutions of a nonlinear reaction diffusion equation when some reaction and potential terms are concentrated in a $\epsilon$-neighborhood of a portion $\Gamma$ of the boundary.
Antônio L. Pereira +3 more
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On oscillatory solutions of differential inequalities [PDF]
Oscillation properties are proved for systems of differential inequalities of the type \(\alpha_ iy_ i'y_{i+1}>0\) for \(y_{i+1}\neq 0\), \(y_ i'=0\) if \(y_{i+1}=0\), \(i=1,\dots,n\) in an interval \((a,b ...
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