Results 11 to 20 of about 174,713,239 (293)
Asymptotic Behavior of Solutions of Delayed Difference Equations [PDF]
Abstract and Applied Analysis, 2011 This contribution is devoted to the investigation of the asymptotic behavior of delayed difference equations with an integer delay. We prove that under appropriate conditions there exists at least one solution with its graph staying in a prescribed ...
J. Diblík, I. Hlavičková
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Asymptotic Behavior of Solutions of Dynamic Equations
Journal of Mathematical Sciences, 2004 This paper reviews some earlier results of the authors given in the papers by the second and third author [J. Difference Equ. Appl. 7, No. 1, 21--50 (2001; Zbl 0972.39004)], and the first and the third author [Dyn. Syst. Appl. 12, No. 1--2, 23--43 (2003; Zbl 1053.39029)].
Bodine, Sigrun +2 more
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Complicated Asymptotic Behavior of Solutions for Heat Equation in Some Weighted Space [PDF]
Abstract and Applied Analysis, 2012 We investigate the asymptotic behavior of solutions for the heat equation in the weighted space Y0σ(ℝN)≡{φ∈C(ℝN):lim |x|→∞(1+|x|2)-σ/2φ(x)=0}.
Liangwei Wang, Jingxue Yin
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Asymptotic behavior of the solutions of the p-Laplacian equation
Science in China Series A, 2006 In the present article, the following problems for the \(p\)-Laplacian equation are considered \[ \begin{alignedat}{2} & u_t = \text{div }(| \nabla u| ^{p-2}\nabla u),\quad && (x,t)\in Q_T = \mathbb R^N\times (0,T),\\ & u(x,0) = u_0(x), \quad && x\in\mathbb R^N, \end{alignedat} \] and \[ \begin{alignedat}{2} & u_t = \text{div }(| \nabla u| ^{p-2}\nabla
Zhang, L. P., Zhao, J. N.
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Asymptotic behavior of multiple solutions for quasilinear Schrödinger equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2022 This paper establishes the multiplicity of solutions for a class of quasilinear Schrödinger elliptic equations: \begin{equation*} -\Delta u+V(x)u-\frac{\gamma}{2}\Delta(u^{2})u=f(x,u),\qquad x\in \mathbb{R}^{3}, \end{equation*} where $V(x):\mathbb{R}^3 ...
Xian Zhang, Chen Huang
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Asymptotic Behavior of Solutions of a Periodic Diffusion Equation [PDF]
Journal of Inequalities and Applications, 2010 We consider a degenerate parabolic equation with logistic periodic sources. First, we establish the existence of nontrivial nonnegative periodic solutions by monotonicity method. Then by using Moser iterative technique and the method of contradiction, we
Jiebao Sun, Boying Wu, Dazhi Zhang
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Asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations [PDF]
Opuscula Mathematica, 2014 In this paper, we establish some new criteria on the asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations on time scales.
Martin Bohner +2 more
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Asymptotic behavior of solutions on a thin plastic plate
Electronic Journal of Differential Equations, 2009 In the present work, we study the asymptotic behavior of solutions to a plasticity problem in a containing structure, a thin plastic plate of thickness that tends to zero.
Abdelaziz Ait Moussa, Jamal Messaho
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Asymptotic Behavior of a Periodic Diffusion System
Journal of Inequalities and Applications, 2010 We study the asymptotic behavior of the nonnegative solutions of a periodic reaction diffusion system. By obtaining a priori upper bound of the nonnegative periodic solutions of the corresponding periodic diffusion system, we establish the existence of ...
Li Songsong, Hui Xiaofeng
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Asymptotic behavior of solutions to difference equations in Banach spaces [PDF]
, 2021 We investigate the asymptotic properties of solutions to higher order nonlinear difference equations in Banach spaces. We introduce a new technique based on a vector version of discrete L’Hospital’s rule, remainder operator, and the regional topology on ...
Migda Janusz +2 more
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