Results 31 to 40 of about 4,403,877 (318)

Heat equation with general stochastic measure colored in time

open access: yesModern Stochastics: Theory and Applications, 2014
A stochastic heat equation on $[0,T]\times \mathbb{R}$ driven by a general stochastic measure $d\mu (t)$ is investigated in this paper. For the integrator μ, we assume the σ-additivity in probability only. The existence, uniqueness, and Hölder regularity
Vadym Radchenko
doaj   +1 more source

On the Positivity of Local Mild Solutions to Stochastic Evolution Equations [PDF]

open access: yes, 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.
openaire   +2 more sources

Using support vector machines with multiple indices of diffusion for automated classification of mild cognitive impairment [PDF]

open access: yes, 2012
Few studies have looked at the potential of using diffusion tensor imaging (DTI) in conjunction with machine learning algorithms in order to automate the classification of healthy older subjects and subjects with mild cognitive impairment (MCI).
Lamberton, Franck   +57 more
core   +3 more sources

Solution-based Wet Chemistry Gold Surface Coating for Soft Bioelectronics

open access: yes, 2022
This thesis successfully develop a general, solution-based, bottom-up wet chemistry gold surface coating strategy under mild conditions to construct strain-insensitive conductive fibers and highly stretchable conductive hydrogels, which demonstrates the ...
REN WANG (12025460)
core   +1 more source

Existence and Controls for Fractional Evolution Equations

open access: yesAxioms
In this paper, we investigate the existence and uniqueness of mild solutions for non-autonomous fractional evolution equations (NFEEs) using the technique of non-compactness measure, focusing on scenarios where the semigroup is non-compact.
Ying Chen, Yong Zhou
doaj   +1 more source

Existence and Uniqueness of Mild Solution for Fractional Integrodifferential Equations [PDF]

open access: yesAdvances in Difference Equations, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fang Li   +1 more
openaire   +3 more sources

Asymptotic Controllability of Coupled Fractional Stochastic Sobolev-Type Systems with a Nonlocal Condition

open access: yesFractal and Fractional
This paper discusses the asymptotic controllability of fractional-order Sobolev-type perturbed stochastic control systems with Brownian motion and nonlocal fractional-order Sobolev stochastic conditions.
Tayeb Blouhi   +6 more
doaj   +1 more source

A Priori Uniform Bounds as Measure-Theoretic Tools: Long-Term Analysis via Classical-Enhanced Synthesis

open access: yesMathematics
This work presents a systematic study of nonlinear differential equations within Sobolev spaces, focusing on mild solutions and their qualitative properties.
Jianchao Bai, Jinxing Liu
doaj   +1 more source

Strong Solutions and Mild Solutions for Sturm-Liouville Differential Inclusions

open access: yesSet-Valued and Variational Analysis
AbstractExistence 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
openaire   +3 more sources

Controllability results for semilinear functional and neutral functional evolution equations with infinite delay [PDF]

open access: yesSurveys 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
doaj  

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