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Our purpose in this article is to study the asymptotic behavior of undamped evolution equations with fading memory on time-dependent spaces. By means of the theory of processes on time-dependent spaces, asymptotic a priori estimate and the technique of ...
Xuan Wang, Didi Hu, Chenghua Gao
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Asymptotic stationarity and regularity for nonsmooth optimization problems [PDF]
Based on the tools of limiting variational analysis, we derive a sequential necessary optimality condition for nonsmooth mathematical programs which holds without any additional assumptions. In order to ensure that stationary points in this new sense are
Patrick Mehlitz
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In this paper, we mainly investigate upper semicontinuity and regularity of attractors for nonclassical diffusion equations with perturbed parameters ν and the nonlinear term f satisfying the polynomial growth of arbitrary order p − 1 $p-1$ ( p ≥ 2 $p ...
Yongqin Xie, Jun Li, Kaixuan Zhu
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On the Sharp Gårding Inequality for Operators with Polynomially Bounded and Gevrey Regular Symbols
In this paper, we analyze the Friedrichs part of an operator with polynomially bounded symbol. Namely, we derive a precise expression of its asymptotic expansion.
Alexandre Arias Junior, Marco Cappiello
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We consider the nonlinear elliptic–parabolic boundary value problem involving the Dirichlet-to-Neumann operator of p-Laplace type at the critical Sobolev exponent.
Deng Yanhua, Tan Zhong, Xie Minghong
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Fixed points of a certain class of mappings in spaces with uniformly normal structure
A fixed point theorem is proved in a Banach space E which has uniformly normal structure for asymptotically regular mapping T satisfying: for each x,y in the domain and for n=1,2,⋯,‖Tnx−Tny‖≤an‖x−y‖+bn(‖x−Tnx‖+‖y−Tny‖)+cn(‖x−Tny‖+‖y−Tny‖), where an,bn ...
Jong Soo Jung +2 more
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On the sub–diffusion fractional initial value problem with time variable order
We consider a fractional derivative with order varying in time. Then, we derive for it a Leibniz' inequality and an integration by parts formula. We also study an initial value problem with our time variable order fractional derivative and present a ...
Cuesta Eduardo +3 more
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Kannan-Type Contractions on New Extended b-Metric Spaces
This article is focused on the generalization of some fixed point theorems with Kannan-type contractions in the setting of new extended b-metric spaces. An idea of asymptotic regularity has been incorporated to achieve the new results. As an application,
Hassen Aydi +5 more
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Ten Things You Should Know about the Dynamic Conditional Correlation Representation
The purpose of the paper is to discuss ten things potential users should know about the limits of the Dynamic Conditional Correlation (DCC) representation for estimating and forecasting time-varying conditional correlations. The reasons given for caution
Massimiliano Caporin, Michael McAleer
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Statistical Inference for Stochastic Differential Equations with Small Noises
This paper proposes the least squares method to estimate the drift parameter for the stochastic differential equations driven by small noises, which is more general than pure jump α-stable noises.
Liang Shen, Qingsong Xu
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