Results 21 to 30 of about 8,065,301 (311)

Fractional evolution equation nonlocal problems with noncompact semigroups [PDF]

Opuscula Mathematica, 2016
This paper is concerned with the existence results of mild solutions to the nonlocal problem of fractional semilinear integro-differential evolution equations.
Xuping Zhang, Pengyu Chen
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

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

Existence of solutions to a class of damped random impulsive differential equations under Dirichlet boundary value conditions

AIMS Mathematics, 2022
In this paper, we study sufficient conditions for the existence of solutions to a class of damped random impulsive differential equations under Dirichlet boundary value conditions.
Song Wang, Xiao-Bao Shu, Linxin Shu
doaj   +1 more source

On a second-order evolution inclusion [PDF]

Results in Nonlinear Analysis, 2018
We study a class of second-order evolution inclusions and we obtain a sufficient condition for f-local controllability along a reference trajectory.
Aurelian Cernea
doaj  

Boundary controllability of impulsive nonlinear fractional delay integro-differential system

Cogent Engineering, 2016
By using the strongly continuous semigroup theory and the Banach contraction principle, we study the boundary controllability of time varying delay impulsive nonlinear fractional integrodifferential system in Banach spaces.
Hamdy M. Ahmed
doaj   +1 more source

Circulating histones as clinical biomarkers in critically ill conditions

FEBS Letters, EarlyView.
Circulating histones are emerging as promising biomarkers in critical illness due to their diagnostic, prognostic, and therapeutic potential. Detection methods such as ELISA and mass spectrometry provide reliable approaches for quantifying histone levels in plasma samples.
José Luis García‐Gimenez, Juan Carlos Ruiz‐Rodríguez, Ricard Ferrer, Raquel Durá, Antonio Artigas, Iván Bajaña, David Bolado López de Andujar, Irene Cánovas‐Cervera, Adrián Ceccato, Luis Chiscano‐Camón, Elena Climent‐Martinez, Georgia García Fernández, Gemma Goma, Verónica Monforte, Beatriz Quevedo‐Sánchez, Adolf Ruiz‐Sanmartín, Antonio Sierra‐Rivera, Nieves Carbonell Monleón   +17 more
wiley   +1 more source

From omics to AI—mapping the pathogenic pathways in type 2 diabetes

FEBS Letters, EarlyView.
Integrating multi‐omics data with AI‐based modelling (unsupervised and supervised machine learning) identify optimal patient clusters, informing AI‐driven accurate risk stratification. Digital twins simulate individual trajectories in real time, guiding precision medicine by matching patients to targeted therapies.
Siobhán O'Sullivan, Lu Qi, Pierre Zalloua   +2 more
wiley   +1 more source

The multidrug and toxin extrusion (MATE) transporter DTX51 antagonizes non‐cell‐autonomous HLS1–AMP1 signaling in a region‐specific manner

FEBS Letters, EarlyView.
The Arabidopsis mutants hls1 hlh1 and amp1 lamp1 exhibit pleiotropic developmental phenotypes. Although the functions of the causative genes remain unclear, they act in the same genetic pathway and are thought to generate non‐cell‐autonomous signals.
Takashi Nobusawa, Makoto Kusaba
wiley   +1 more source