Results 31 to 40 of about 1,107,444 (285)

Ulam–Hyers stability and exponentially dichotomic equations in Banach spaces

Electronic Journal of Qualitative Theory of Differential Equations, 2023
For finite-dimensional linear differential systems with bounded coefficients, we prove that their exponential dichotomy on $\mathbb{R}$ is equivalent to their Ulam–Hyers stability on $\mathbb{R}$ with uniqueness. We also consider abstract non-autonomous
Adriana Buică
doaj   +1 more source

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

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, Caraballo, Tomás, Mané, Aziz   +2 more
openaire   +1 more source

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

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, Mouffak Benchohra, Khalil Ezzinbi   +2 more
doaj  

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, Said Melliani, Elomari M'hamed   +2 more
doaj   +1 more source

Approximate Controllability of Fully Nonlocal Stochastic Delay Control Problems Driven by Hybrid Noises

Fractal and Fractional, 2021
In this paper, a class of time-space fractional stochastic delay control problems with fractional noises and Poisson jumps in a bounded domain is considered.
Lixu Yan, Yongqiang Fu
doaj   +1 more source

Personalized Selumetinib Dosing in Pediatric Neurofibromatosis Type 1: Insights From a Pilot Therapeutic Drug Monitoring Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Objective To evaluate selumetinib exposure using therapeutic drug monitoring (TDM) in pediatric patients with neurofibromatosis type 1 (NF1) and plexiform neurofibromas (PN), assess interpatient pharmacokinetic variability, and explore the relationship between drug exposure, clinical response, and adverse effects.
Janka Kovács, Zoltán Köllő, Balázs Gellért Karvaly, Mahmoud Obeidat, Rita Nagy, Péter Hegyi, Brigitta Teutsch, Eszter Tuboly, Miklós Garami   +8 more
wiley   +1 more source

Existence results for some integro-differential equations with state-dependent nonlocal conditions in Fréchet Spaces

Nonautonomous Dynamical Systems, 2020
In this work, we present existence of mild solutions for partial integro-differential equations with state-dependent nonlocal local conditions. We assume that the linear part has a resolvent operator in the sense given by Grimmer.
Diop Mamadou Abdoul, Bete Kora Hafiz, Kakpo Reine, Ogouyandjou Carlos   +3 more
doaj   +1 more source