Results 21 to 30 of about 307,888 (268)

Stability analysis of partial differential variational inequalities in Banach spaces

Nonlinear Analysis, 2020
In this paper, we study a class of partial differential variational inequalities. A general stability result for the partial differential variational inequality is provided in the case the perturbed parameters are involved in both the nonlinear mapping ...
Faming Guo, Wei Li, Yi-bin Xiao, Stanisław Migórski   +3 more
doaj   +1 more source

A new existence results on fractional differential inclusions with state-dependent delay and Mittag-Leffler kernel in Banach space

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In this manuscript the existence of the fractional-order functional differential inclusions [FFDI] with state-dependent delay [SDD] is investigated within the Mittag-Leffler kernel.
Arjunan Mani Mallika, Kavitha Velusamy, Baleanu Dumitru   +2 more
doaj   +1 more source

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

Hölder estimates of mild solutions for nonlocal SPDEs [PDF]

Advances in Difference Equations, 2019
Abstract We consider nonlocal PDEs driven by additive white noises on Rd ${\mathbb{R}}^{d}$. For Lq $L^{q}$ integrable coefficients, we derive the existence and uniqueness, as well as Hölder continuity, of mild solutions.
Rongrong Tian, Liang Ding, Jinlong Wei, Suyi Zheng   +3 more
openaire   +3 more sources

Phenotypic continuum of NFU1‐related disorders

Annals of Clinical and Translational Neurology, Volume 9, Issue 12, Page 2025-2035, December 2022., 2022
Abstract Bi‐allelic variants in Iron–Sulfur Cluster Scaffold (NFU1) have previously been associated with multiple mitochondrial dysfunctions syndrome 1 (MMDS1) characterized by early‐onset rapidly fatal leukoencephalopathy. We report 19 affected individuals from 10 independent families with ultra‐rare bi‐allelic NFU1 missense variants associated with a
Rauan Kaiyrzhanov, Maha S. Zaki, Tracy Lau, Sambuddha Sen, Reza Azizimalamiri, Mina Zamani, Gözde Yeşil Sayin, Taru Hilander, Stephanie Efthymiou, Viorica Chelban, Ruth Brown, Kyle Thompson, Maria Irene Scarano, Jaya Ganesh, Kairgali Koneev, Ismail Musab Gülaçar, Richard Person, Dinara Sadykova, Yerdan Maidyrov, Tahereh Seifi, Aizhan Zadagali, Geneviève Bernard, Katrina Allis, Houda Zghal Elloumi, Amanda Lindy, Ehsan Taghiabadi, Sumit Verma, Rachel Logan, Brian Kirmse, Renkui Bai, Shaimaa M. Khalaf, Mohamed S. Abdel‐Hamid, Alireza Sedaghat, Gholamreza Shariati, Mahmoud Issa, Jawaher Zeighami, Hasnaa M. Elbendary, Garry Brown, Robert W. Taylor, Hamid Galehdari, Joseph J. Gleeson, Christopher J. Carroll, James A. Cowan, Andres Moreno‐De‐Luca, Henry Houlden, Reza Maroofian   +45 more
wiley   +1 more source

A potential biomarker of cognitive impairment: The olfactory dysfunction and its genes expression

Annals of Clinical and Translational Neurology, Volume 9, Issue 12, Page 1884-1897, December 2022., 2022
Abstract Objective Accumulation evidence has reported that olfactory impairment may be an essential clinical marker and predictor of mild cognitive impairment or Alzheimer's disease. Method Participants were enrolled in the population‐based, prospective study in Fuxin county, Liaoning province, China between 2019 and 2021.
Jiayi Song, Jiahui Xu, Wei Yuan, Ruixue Li, Hui Guo, Hanshu Gao, Cuiying Gu, Wenjing Feng, Yanan Ma, Haiqiang Guo, Zhaoqing Sun, Liqiang Zheng   +11 more
wiley   +1 more source

Existence of mild solutions for fractional evolution equations [PDF]

Journal of Integral Equations and Applications, 2013
In this paper, we study the nonlocal Cauchy problems of fractional evolution equations with Riemann-Liouville derivative by considering an integral equation which is given in terms of probability density. By using the theory of Hausdorff measure of noncompactness, we establish various existence theorems of mild solutions for the Cauchy problems in the ...
Zhou, Yong, Zhang, Lu, Shen, Xiao Hui
openaire   +3 more sources

Clinical utility of cerebrospinal fluid biomarkers measured by LUMIPULSE® system

Annals of Clinical and Translational Neurology, Volume 9, Issue 12, Page 1898-1909, December 2022., 2022
Abstract Objectives Cerebrospinal fluid (CSF) biomarkers of Alzheimer's disease (AD) are well‐established in research settings, but their use in routine clinical practice remains a largely unexploited potential. Here, we examined the relationship between CSF biomarkers, measured by a fully automated immunoassay platform, and brain β‐amyloid (Aβ ...
Hisashi Nojima, Satoshi Ito, Akira Kushida, Aki Abe, Wataru Motsuchi, David Verbel, Manu Vandijck, Geert Jannes, Ina Vandenbroucke, Katsumi Aoyagi   +9 more
wiley   +1 more source

Random semilinear system of differential equations with impulses

Fixed Point Theory and Applications, 2017
In this paper, we study the existence of solutions for systems of random semilinear impulsive differential equations. The existence results are established by means of a new version of Perov’s, a nonlinear alternative of Leray-Schauder’s fixed point ...
A Baliki, JJ Nieto, A Ouahab, ML Sinacer
doaj   +1 more source

New Stability Results for Abstract Fractional Differential Equations with Delay and Non-Instantaneous Impulses

Mathematics, 2023
This research delves into the field of fractional differential equations with both non-instantaneous impulses and delay within the framework of Banach spaces.
Abdellatif Benchaib, Abdelkrim Salim, Saïd Abbas, Mouffak Benchohra   +3 more
doaj   +1 more source