Results 241 to 250 of about 64,656 (275)

Global boundedness in an attraction–repulsion chemotaxis system with logistic source

Applied Mathematics Letters, 2018
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Xu, Panpan, Zheng, Sining
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Boundedness and global asymptotic stability of a forced oscillator

Nonlinear Analysis: Theory, Methods & Applications, 1995
The authors consider a forced oscillator described by a differential equation \[ x''+ cx'+ g(x)= p(t),\tag{1} \] where \(c> 0\) is a fixed constant, \(g: \mathbb{R}\to \mathbb{R}\) is sufficiently smooth and has limits at infinity, \(g(- \infty)= \lim_{x\to -\infty} g(x)\), \(g(+ \infty)= \lim_{x\to +\infty} g(x)\), satisfying the inequality \(g ...
Alonso, Jose Miguel, Ortega, Rafael
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Global Boundedness of an Alarm–Taxis System With Nonlinear Diffusion

Mathematical Methods in the Applied Sciences
ABSTRACTIn this paper, we study an alarm–taxis system with nonlinear diffusion  . We consider this problem in a bounded domain   with Neumann boundary conditions. By the complex coupling energy estimates based on the Neumann semigroup smoothing properties, we establish the existence of globally bounded weak solutions for any  .
Yue Zhou, Changchun Liu
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Boundedness of global solutions of a supercritical parabolic equation

Nonlinear Analysis: Theory, Methods & Applications, 2008
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Chen, Xinfu, Fila, Marek, Guo, Jong-Shenq   +2 more
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Global Boundedness of Solutions of Continuous Social Stratification Model

2021
We consider the continuous social stratification model in the special case when the influence of negative factors is uniformly spread among the society. We first obtain spatially homogeneous solutions of the problem. Next we employ the comparison theorems for nonlinear parabolic equations to derive sufficient conditions of global boundedness and blow ...
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Global existence and boundedness in a 2D Keller–Segel–Stokes system

Nonlinear Analysis: Real World Applications, 2017
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Li, Xie, Xiao, Youjun
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Global boundedness of solutions to a reaction-diffusion system

Mathematical Methods in the Applied Sciences, 1999
Summary: We obtain the global boundedness of solutions to a Fujita-type reaction-diffusion system of the type \[ u_t- d_1\Delta u= b_1 u^{p_1} v^{q_1},\quad v_t- d_2\Delta v= b_2 u^{p_2} v^{q_2},\quad (x,t)\in\Omega\times \mathbb{R}_+. \] This global boundedness results from diffusion effect, homogeneous Dirichlet boundary value conditions and ...
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Global boundedness in a three-dimensional alarm-taxis system

Journal of Mathematical Analysis and Applications
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Xueyan Tao, Shulin Zhou
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Robust Adaptive Control Revisited: Semi-global Boundedness and Margins

2010
While stability of adaptive control systems and their robustness to disturbances, unmodeled dynamics, and time-delays have been extensively analyzed in the literature, what is missing is the development of quantifiable margins that explicitly define the extent of these perturbations that the adaptive controller can withstand.
Anuradha M. Annaswamy, Jinho Jang, Eugene Lavretsky   +2 more
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Global Stability and Boundedness in

Journal of Difference Equations and Applications, 2004
C.M. Kent, H. Sedaghat
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