Anti-periodic problems for semilinear partial neutral evolution equations
Electronic Journal of Qualitative Theory of Differential Equations, 2013 We study the anti-periodic problem for the semilinear partial neutral evolution equation in the form \begin{equation*} \begin{array}{l}\displaystyle\frac{d}{dt}[u(t)+h(t,u(t))]+Au(t)=f(t,u(t)),\quad t\in \mathbb{R} \end{array} \end{equation*} in a Banach
Rong-Nian Wang, De-Han Chen
doaj +1 more source
Data‐driven performance metrics for neural network learning
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri +2 more
wiley +1 more source
A new study on the mild solution for impulsive fractional evolution equations [PDF]
arXiv, 2019 In this article, we consider mild solutions to a class of impulsive fractional evolution equations of order $0<\alpha<1$. After analyzing analytic results reported in the literature using Mittag-Leffer function, $\alpha$-resolvent operator theory, we propose a more appropriate new definition of mild solutions for impulsive fractional evolution ...
arxiv
Comparative Study of Factors Influencing the Action of Corrosion Inhibitors for Mild Steel in Neutral Solution: III. Sodium Nitrite [PDF]
, 1968 A. D. Mercer +2 more
openalex +1 more source
A geometric measure-type regularity criterion for solutions to the magnetohydrodynamical system [PDF]
arXiv, 2012 Several formulations of a local geometric measure-type condition are imposed on super-level sets of mild solutions to the homogeneous incompressible 3D magnetohydrodynamical system with bounded initial data to prevent finite-time singularity formation. Supporting this, results regarding the existence, uniqueness, and real analyticity of mild solutions ...
arxiv
$L^2$-asymptotic stability of mild solutions to Navier-Stokes system in $R^3$ [PDF]
arXiv, 2013 We consider global-in-time small mild solutions of the initial value problem to the incompressible Navier-Stokes equations in $R^3$. For such solutions, an asymptotic stability is established under arbitrarily large initial $L^2$-perturbations.
arxiv
A comparative pitting corrosion study of mild steel in different alkaline solutions containing salts with sulphur-containing anions [PDF]
, 1984 D. V. VASQUEZ MOLL +3 more
openalex +1 more source
Calcium modulating ligand confers risk for Parkinson's disease and impacts lysosomes
Annals of Clinical and Translational Neurology, EarlyView.Abstract Objective Several genetic loci known to confer risk for Parkinson's disease (PD) function in lysosomal pathways. We systematically screened common variants linked to PD risk by genome‐wide association studies (GWAS) for impact on cerebrospinal fluid (CSF) proteins reflecting lysosomal function.
Hanwen Zhang +16 more
wiley +1 more source
Mild Solutions and Harnack Inequality for Functional SPDEs with Dini Drift [PDF]
arXiv, 2016 The existence and uniqueness of the mild solution for a class of functional SPDEs with multiplicative noise and a locally Dini continuous drift are proved. In addition, under a reasonable condition the solution is non-explosive. Moreover, Harnack inequalities are derived for the associated semigroup under certain global conditions, which is new even in
arxiv
UDP‐glucose dehydrogenase variants cause dystroglycanopathy
Annals of Clinical and Translational Neurology, EarlyView.Abstract UDP‐glucose dehydrogenase (UGDH) variants have been associated with hypotonia, developmental delay, and epilepsy. We report the first pathologic evidence of dystroglycanopathy in siblings with UGDH variants. Both presented around 6 months with developmental delay and elevated creatinine kinase.
Anna M. Reelfs +8 more
wiley +1 more source