Results 291 to 300 of about 64,779 (321)
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Global existence and boundedness in a 2D Keller–Segel–Stokes system
Nonlinear Analysis: Real World Applications, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Xie, Xiao, Youjun
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Global boundedness of solutions to a reaction-diffusion system
Mathematical Methods in the Applied Sciences, 1999Summary: 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 ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xueyan Tao, Shulin Zhou
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Robust Adaptive Control Revisited: Semi-global Boundedness and Margins
2010While 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 +2 more
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Global Stability and Boundedness in
Journal of Difference Equations and Applications, 2004C.M. Kent, H. Sedaghat
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Liapunov functions and boundedness and global existence of solutions
Applicable Analysis, 1972In this paper the properties of a Liapunov function and its derivatives are combined in obtaining sufficient conditions for the boundedness and global existence of solutions of the system of differential equations x=f(t,x) (1) where f: [0,∞)XRn→ Rn is continuous.
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Global boundedness of solutions of anisotropic variational problems
1991The global boundedness of minimizers is proved for functionals \(\int_ \Omega f(x,Du)dx\) (\(\Omega\) bounded open subset of \(R^ n\)), where \(f(x,z)\) is a Carathéodory function, defined for \(x\in \Omega\), \(z\in R^ n\), satisfying anisotropic growth conditions: \[ f(x,z)\geq m\sum^ n_{i=1}|\xi_ i|^{q_ i} (m>0, q_ i>1),\quad f(x,0)\in L^ r(\Omega ...
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Global Existence and Boundedness of Solutions to the Extensible Beam Equation
SIAM Journal on Mathematical Analysis, 1982The theory of semigroups of linear operators and the recently developed theory of cosine operators is used to provide a variation of parameters representation of solutions to the equation governing the transverse motion of an extensible beam and to insure $L^2 $ boundedness of these solutions.
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Metabolomics in cancer research and emerging applications in clinical oncology
Ca-A Cancer Journal for Clinicians, 2021Daniel R Schmidt +2 more
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