Results 21 to 30 of about 46,976 (223)
Kolmogorov$\unicode{x2013}$Riesz compactness in asymptotic $L_p$ spaces [PDF]
We extend the classical Kolmogorov-Riesz compactness theorem to the setting of asymptotic $L_p$ spaces on $\mathbb{R}^n$. These are nonlocally convex $\mathrm{F}$-spaces that contain the standard $L_p$ spaces as dense subspaces and include all measurable functions supported on sets of finite measure.
Nuno J. Alves
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Uniform Attractors for Nonclassical Diffusion Equations with Memory
Journal of Function Spaces, 2016 We introduce a new method (or technique), asymptotic contractive method, to verify uniform asymptotic compactness of a family of processes. After that, the existence and the structure of a compact uniform attractor for the nonautonomous nonclassical ...
Yongqin Xie, Yanan Li, Ye Zeng
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Random Attractors for the Stochastic Discrete Long Wave-Short Wave Resonance Equations
Journal of Applied Mathematics, 2011 We prove the existence of the random attractor for the stochastic discrete long wave-short wave resonance equations in an infinite lattice. We prove the asymptotic compactness of the random dynamical system and obtain the random attractor.
Jie Xin, Hong Lu
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Asymptotic behavior for the semilinear reaction–diffusion equations with memory
Advances in Difference Equations, 2019 In this paper, we consider the dynamics of a reaction–diffusion equation with fading memory and nonlinearity satisfying arbitrary polynomial growth condition.
Jiangwei Zhang +3 more
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Mathematical Modelling and Analysis, 2016 In this paper, we consider a non-autonomous generalized Cahn-Hilliard equation with biological applications. It is shown that a pullback attractor of the equation exists when the external force has exponential growth.
Ning Duan
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Compactness and asymptotic behavior in nonautonomous linear parabolic equations with unbounded coefficients in $\R^d$ [PDF]
, 2010 We consider a class of second order linear nonautonomous parabolic equations in R^d with time periodic unbounded coefficients. We give sufficient conditions for the evolution operator G(t,s) be compact in C_b(R^d) for t>s, and describe the asymptotic ...
A Lunardi +11 more
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A Note on Asymptotic Equilibrium for Fuzzy Differential Equations
Journal of Applied Mathematics, 2014 The asymptotic equilibrium results for fuzzy differential systems GCP x′=f1t,x,y,y′=f2(t,x,y) are investigated, where f1t,x,y satisfies the compactness-type and f2t,x,y satisfies the dissipative-type conditions.
Yabin Shao, Shengui Zhang, Yanping Xiao
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Journal of Taibah University for Science, 2020 In this paper, a viability results for nonlinear retarded reaction–diffusion system with the non-local retarded initial condition are studied. The existence, uniqueness and global asymptotic stability of $C^0 $-solutions are investigated.
Bassem Meknani
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Asymptotic mass limit of large fully heavy compact multiquarks
Physical Review D, 2023 5 pages, 4 ...
M. C. Gordillo +1 more
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Characterizations of Asymptotic Cone of the Solution Set of a Composite Convex Optimization Problem
Journal of Applied Mathematics, 2012 We characterize the asymptotic cone of the solution set of a convex composite optimization problem. We then apply the obtained results to study the necessary and sufficient conditions for the nonemptiness and compactness of the solution set of the ...
Zhe Chen
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