Results 31 to 40 of about 644,438 (285)
Mild Solutions for a Class of Fractional SPDEs and Their Sample Paths [PDF]
, 2009 In this article we introduce and analyze a notion of mild solution for a class of non-autonomous parabolic stochastic partial differential equations defined on a bounded open subset $D\subset\mathbb{R}^{d}$ and driven by an infinite-dimensional ...
Sanz-Solé, Marta, Vuillermot, Pierre-A.
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On a Linear Differential Game of Pursuit with Integral Constraints in ℓ2
MathematicsIn this paper, we study the stability, controllability, and differential game of pursuit for an infinite system of linear ODEs in ℓ2. The system we consider has a special right-hand side, which is not diagonal and serves as a toy model for controllable ...
Ibroximjon Zaynabiddinov +3 more
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Path-dependent SDEs in Hilbert spaces
, 2018 We study path-dependent SDEs in Hilbert spaces. By using methods based on contractions in Banach spaces, we prove existence and uniqueness of mild solutions, continuity of mild solutions with respect to perturbations of all the data of the system, G ...
R Cont, R Cont, Rama Cont
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Mild solutions to the dynamic programming equation for stochastic optimal control problems [PDF]
, 2017 We show via the nonlinear semigroup theory in $L^1(\mathbb{R})$ that the $1$-D dynamic programming equation associated with a stochastic optimal control problem with multiplicative noise has a unique mild solution $\varphi\in C([0,T];W^{1,\infty}(\mathbb{
Barbu, Viorel +2 more
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Nonlocal Fractional Evolution Inclusions of Order α ∈ (1,2)
Mathematics, 2019 This paper studies the existence of mild solutions and the compactness of a set of mild solutions to a nonlocal problem of fractional evolution inclusions of order α ∈ ( 1 , 2 ) .
Jia Wei He +3 more
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Optimal Controls for a Class of Conformable Fractional Evolution Systems
Fractal and Fractional, 2023 In the scale of abstract Banach spaces, the existence as well as the controllability are considered for a class of evolution systems involving conformable fractional derivatives.
Yue Liang
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Existence of positive mild solutions for a class of fractional evolution equations on the half line
Advances in Difference Equations, 2017 The equivalent integral equation of a new form for a class of fractional evolution equations is obtained by the method of Laplace transform, which is different from those given in the existing literature.
Yi Chen, Zhanmei Lv, Liang Zhang
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Strong Solutions and Mild Solutions for Sturm-Liouville Differential Inclusions
Set-Valued and Variational AnalysisAbstractExistence results for a Cauchy problem driven by a semilinear differential Sturm-Liouville inclusion are achived by proving, in a preliminary way, an existence theorem for a suitable integral inclusion. In order to obtain this proposition we use a recent fixed point theorem that allows us to work with the weak topology and the De Blasi measure ...
Tiziana Cardinali, Giulia Duricchi
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Mild solutions of non‐Lipschitz stochastic integrodifferential evolution equations [PDF]
Mathematical Methods in the Applied Sciences, 2016 In this work, we study the existence and uniqueness of mild solutions for stochastic partial integrodifferential equations under local non‐Lipschitz conditions on the coefficients. Our analysis makes use of the theory of resolvent operators as developed by R. Grimmer as well as a stopping time technique.
Abdoul Diop, Mamadou +2 more
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Fractal and Fractional, 2022 The gravitational effect is a physical phenomenon that explains the motion of a conductive fluid flowing under the impact of an exterior gravitational force.
Kinda Abuasbeh +5 more
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