Results 51 to 60 of about 442,403 (170)
Electronic Journal of Differential Equations, 2013 In this article, we study a class of impulsive stochastic neutral partial functional differential equations in a real separable Hilbert space. By using Banach fixed point theorem, we give sufficient conditions for the existence and uniqueness of a ...
Danhua He, Liguang Xu
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Local attractivity for integro-differential equations with noncompact semigroups
Nonautonomous Dynamical Systems, 2020 In this paper, we are devoted to study the existence and local attractivity of solutions for a class of integro-differential equations.Under the situation that the nonlinear term satisfy Carathéodory conditions and a noncompactness measure condition, we ...
Diop Amadou +3 more
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Учёные записки Казанского университета: Серия Физико-математические наукиFor a nonstrictly hyperbolic mildly quasilinear biwave equation in the first quadrant, an initial-boundary value problem with the Cauchy conditions specified on the spatial half-line and the Dirichlet and Wentzell conditions applied on the time half-line
V. I. Korzyuk, J. V. Rudzko
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Nonlocal fractional stochastic differential equations driven by fractional Brownian motion
Advances in Difference Equations, 2017 In this paper, we consider a class of nonlocal fractional stochastic differential equations driven by fractional Brownian motion with Hurst index H > 1 2 $H>\frac{1}{2}$ .
Jingyun Lv, Xiaoyuan Yang
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Approximation of solutions of the stochastic wave equation by using the Fourier series
Modern Stochastics: Theory and Applications, 2018 A one-dimensional stochastic wave equation driven by a general stochastic measure is studied in this paper. The Fourier series expansion of stochastic measures is considered.
Vadym Radchenko, Nelia Stefans’ka
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Mild solutions for semilinear fractional differential equations
Electronic Journal of Differential Equations, 2009 The authors study the fractional semilinear differential equation with nonlocal conditions \[ D^{q}x(t)=-Ax(t)+f(t,x(t),Bx(t)),\qquad t\in [0,T], \] \[ x(0)+g(x)=x_0, \] where \(T>0 ...
Gisele M. Mophou, Gaston M. N'Guerekata
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Heat equation with a general stochastic measure in a bounded domain
Modern Stochastics: Theory and ApplicationsA stochastic heat equation on $[0,T]\times B$, where B is a bounded domain, is considered. The equation is driven by a general stochastic measure, for which only σ-additivity in probability is assumed.
Boris Manikin
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Global Mild Solutions of the Navier-Stokes Equations
, 2012 Here we establish a global well-posedness of \textit{mild} solutions to the three-dimensional incompressible Navier-Stokes equations if the initial data are in the space $\mathcal{X}^{-1}$ defined by $(1.3)$ and if the norms of the initial data in $\mathcal{X}^{-1}$ are bounded exactly by the viscosity coefficient $ $.
Lei, Zhen, Lin, Fang-hua
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Weighted pseudo-almost periodic solutions for some neutral partial functional differential equations
Electronic Journal of Differential Equations, 2012 In this article we study the existence of weighted pseudo almost periodic solutions of an autonomous neutral functional differential equation with Stepanov-Weighted pseudo almost periodic terms in a Banach space.
Mondher Damak +2 more
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Quasilinear nonlocal integrodifferential equations in Banach spaces
Electronic Journal of Differential Equations, 2008 In this paper, we study the existence of mild solutions for quasilinear integrodifferential equations with nonlocal conditions in Banach spaces. The results are established by using Hausdorff's measure of noncompactness.
Jin Zhang, Gang Li, Qixiang Dong
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