Results 1 to 10 of about 301,568 (186)
Partial differential hemivariational inequalities
The aim of this paper is to introduce and study a new class of problems called partial differential hemivariational inequalities that combines evolution equations and hemivariational inequalities.
Liu Zhenhai +2 more
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Nonexistence of global solutions for a nonlinear parabolic equation with a forcing term [PDF]
The purpose of this work is to analyze the blow-up of solutions of a nonlinear parabolic equation with a forcing term depending on both time and space variables \[u_t-\Delta u=|x|^{\alpha} |u|^{p}+{\mathtt a}(t)\,{\mathbf w}(x)\quad\text{for }(t,x)\in(0,\
Aisha Alshehri +4 more
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Systems of Simultaneous Differential Inclusions Implying Function Containment
An important problem in complex analysis is to determine properties of the image of an analytic function p defined on the unit disc U from an inclusion or containment relation involving several of the derivatives of p.
José A. Antonino, Sanford S. Miller
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Differential variational inequalities [PDF]
This paper introduces and studies the class of differential variational inequalities (DVIs) in a finite-dimensional Euclidean space. The DVI provides a powerful modeling paradigm for many applied problems in which dynamics, inequalities, and discontinuities are present; examples of such problems include constrained time-dependent physical systems with ...
Pang, Jong-Shi, Stewart, David E.
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We present some new nonlinear integral inequalities Bellman-Bihari type with delay for discontinuous functions (integro-sum inequalities; impulse integral inequalities). Some applications of the results are included: conditions of boundedness (uniformly),
Angela Gallo, Anna Maria Piccirillo
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Nonstationary Equations for the Reaction Layer with the Degenerate Equilibrium Points
We consider a nonstationary process of spreading some substance in a one-dimensional spatially inhomogeneous system of cells. It is assumed that a change in the concentration of \(u_n (t)\) in a cell with the number \(n\) with time \(t\) is ...
Aleksei A. Bykov, Kristina E. Ermakova
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Extensions of Gronwall-Bellman type integral inequalities with two independent variables
In this paper, we establish several kinds of integral inequalities in two independent variables, which improve well-known versions of Gronwall-Bellman inequalities and extend them to fractional integral form.
Xie Yihuai, Li Yueyang, Liu Zhenhai
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The development of socioeconomic inequalities in anxiety and depression symptoms over the lifecourse [PDF]
Purpose: Socioeconomic inequalities in anxiety and depression widen with increasing age. This may be due to differences in the incidence or persistence of symptoms.
Benzeval, Michaela, Green, Michael J.
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Nonlinear differential inequality [PDF]
A nonlinear inequality is formulated in the paper. An estimate of the rate of growth/decay of solutions to this inequality is obtained. This inequality is of interest in a study of dynamical systems and nonlinear evolution equations. It can be applied to a study of global existence of solutions to nonlinear PDE.
Hoang, N. S., Ramm, A. G.
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