Results 21 to 30 of about 5,028,361 (312)

Mild Solutions of Second-Order Semilinear Impulsive Differential Inclusions in Banach Spaces

Mathematics, 2022
In this paper, the existence of a mild solution to the Cauchy problem for impulsive semilinear second-order differential inclusion in a Banach space is investigated in the case when the nonlinear term also depends on the first derivative. This purpose is
Martina Pavlačková, Valentina Taddei
doaj   +1 more source

Impulsive fractional differential inclusions with state-dependent delay [PDF]

Mathematica Moravica, 2019
In this paper, we prove the existence of mild solution for impulsive fractional inclusions with state-dependent delay in Banach spaces. Our study is based on the nonlinear alternative of Leray-Schauder type for multivalued maps due to Martelli.
Aissani Khalida, Benchohra Mouffak
doaj  

Heat equation with general stochastic measure colored in time

Modern 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

Mitigating Corrosion Rate of Mild Steel Using Pepper Tree in Acidic 0.5M H₂SO₄ Medium

Materials Proceedings
One of the biggest problems facing many different sectors is metal corrosion. The consequences of corrosion are of great concern globally; therefore, efforts must be made to prevent the corrosion of metals/alloys.
Mothibeli Pita, Lebogang Lebea
doaj   +1 more source

Existence and Controls for Fractional Evolution Equations

Axioms
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

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.
openaire   +2 more sources

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

Fractal 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, Hussien Albala, Fatima Zohra Ladrani, Amin Benaissa Cherif, Abdelkader Moumen, Khaled Zennir, Keltoum Bouhali   +6 more
doaj   +1 more source

Strong Solutions and Mild Solutions for Sturm-Liouville Differential Inclusions

Set-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

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

Mathematics
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

Retrospective Analysis of Donor Lymphocyte Infusions in Pediatric Patients With Mixed Chimerism After Hematopoietic Stem Cell Transplantation

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Allogeneic hematopoietic stem cell transplantation (alloHSCT) is an essential therapy for several malignant and nonmalignant diseases, but relapse and graft loss remain the principal threats to its success. Routine monitoring of chimerism and minimal residual disease (MRD) enables early detection of imminent recurrence and guides ...
Carmen Junk, Sebastian Michaelis, Michaela Döring, Thomas Eichholz, Ursula Holzer, Martin Ebinger, Tim Flaadt, Rupert Handgretinger, Peter Lang, Jan Frederic Weller, Markus Mezger   +10 more
wiley   +1 more source