Results 31 to 40 of about 459,935 (318)
On the Positivity of Local Mild Solutions to Stochastic Evolution Equations [PDF]
, 2021 We provide sufficient conditions on the coefficients of a stochastic evolution equation on a Hilbert space of functions driven by a cylindrical Wiener process ensuring that its mild solution is positive if the initial datum is positive. As an application, we discuss the positivity of forward rates in the Heath-Jarrow-Morton model via Musiela's ...
Marinelli C., Scarpa L.
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MathematicsThis work presents a systematic study of nonlinear differential equations within Sobolev spaces, focusing on mild solutions and their qualitative properties.
Jianchao Bai, Jinxing Liu
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Existence and controllability results for damped second order impulsive functional differential systems with state-dependent delay [PDF]
Opuscula Mathematica, 2014 In this paper, we investigate the existence and controllability of mild solutions for a damped second order impulsive functional differential equation with state-dependent delay in Banach spaces.
M. Mallika Arjunan, N. Y. Nadaf
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Fractal and Fractional, 2022 In this paper, we focus on the existence of Hilfer fractional stochastic differential systems via almost sectorial operators. The main results are obtained by using the concepts and ideas from fractional calculus, multivalued maps, semigroup theory ...
Sivajiganesan Sivasankar +1 more
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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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Controllability results for semilinear functional and neutral functional evolution equations with infinite delay [PDF]
Surveys in Mathematics and its Applications, 2009 In this paper sufficient conditions are given ensuring the controllability of mild solutions defined on a bounded interval for two classes of first order semilinear functional and neutral functional differential equations involving evolution operators ...
Selma Baghli +2 more
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Conformable Fractional Cosine Families of Operators
Journal of Mathematical Sciences and Modelling, 2019 In this paper we are concerned with the problem \begin{eqnarray*}\begin{cases} u^{(\alpha)}(t)=Au(t)+f(t,u(t))& t\in [0,T]\\ u(0)=u_0, D^{\alpha}u(0)=u_1\end{cases}\end{eqnarray*} \begin{eqnarray*} \begin{cases} u^{(\alpha)}(t)=Au(t)+f(t,u(t)
L. S. Chadli +2 more
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ON UNIQUENESS OF MILD SOLUTIONS FOR DISSIPATIVE STOCHASTIC EVOLUTION EQUATIONS [PDF]
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2010 In the semigroup approach to stochastic evolution equations, the fundamental issue of uniqueness of mild solutions is often "reduced" to the much easier problem of proving uniqueness for strong solutions. This reduction is usually carried out in a formal way, without really justifying why and how one can do that.
Marinelli, Carlo, Röckner, Michael
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Probabilistic representation for mild solution of the Navier–Stokes equations [PDF]
Mathematical Research Letters, 2021 This paper is based on a formulation of the Navier-Stokes equations developed by Iyer and Constantin \cite{Cont} , where the velocity field of a viscous incompressible fluid is written as the expected value of a stochastic process. Our contribution is to establish this probabilistic representation formula for mild solutions of the Navier-Stokes ...
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Immune effector cell‐associated hemophagocytic lymphohistiocytosis‐like syndrome (IEC‐HS) is a life‐threatening hyperinflammatory toxicity distinct from cytokine release syndrome (CRS) and neurotoxicity following chimeric antigen receptor T‐cell (CAR‐T) therapy. In a single‐institution retrospective cohort of pediatric and young adult patients
Thomas J. Galletta +6 more
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