Results 1 to 10 of about 4,682 (265)

Asymptotic Regularity and Existence of Time-Dependent Attractors for Second-Order Undamped Evolution Equations with Memory

open access: yesMathematics, 2022
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
doaj   +3 more sources

Asymptotic stationarity and regularity for nonsmooth optimization problems [PDF]

open access: yesJournal of Nonsmooth Analysis and Optimization, 2020
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
doaj   +1 more source

Upper semicontinuity of attractors for nonclassical diffusion equations with arbitrary polynomial growth

open access: yesAdvances in Difference Equations, 2021
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

open access: yesMathematics, 2020
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
doaj   +1 more source

Nonlinear elliptic–parabolic problem involving p-Dirichlet-to-Neumann operator with critical exponent

open access: yesAdvances in Nonlinear Analysis, 2023
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
doaj   +1 more source

Fixed points of a certain class of mappings in spaces with uniformly normal structure

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1998
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
doaj   +1 more source

On the sub–diffusion fractional initial value problem with time variable order

open access: yesAdvances in Nonlinear Analysis, 2021
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
doaj   +1 more source

Kannan-Type Contractions on New Extended b-Metric Spaces

open access: yesJournal of Function Spaces, 2021
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
doaj   +1 more source

Ten Things You Should Know about the Dynamic Conditional Correlation Representation

open access: yesEconometrics, 2013
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
doaj   +1 more source

Statistical Inference for Stochastic Differential Equations with Small Noises

open access: yesAbstract and Applied Analysis, 2014
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
doaj   +1 more source

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