Results 61 to 70 of about 692,743 (288)

Stability of Stochastic Reaction-Diffusion Recurrent Neural Networks with Unbounded Distributed Delays

Discrete Dynamics in Nature and Society, 2011
Stability of reaction-diffusion recurrent neural networks (RNNs) with continuously distributed delays and stochastic influence are considered. Some new sufficient conditions to guarantee the almost sure exponential stability and mean square exponential ...
Chuangxia Huang, Xinsong Yang, Yigang He, Lehua Huang   +3 more
doaj   +1 more source

On exponential functionals of Levy processes [PDF]

, 2013
Exponential functionals of L\'evy processes appear as stationary distributions of generalized Ornstein-Uhlenbeck (GOU) processes. In this paper we obtain the infinitesimal generator of the GOU process and show that it is a Feller process.
Behme, Anita, Lindner, Alexander
core  

Reconstructing Generalized Exponential Laws by Self-Similar Exponential Approximants

, 2002
We apply the technique of self-similar exponential approximants based on successive truncations of continued exponentials to reconstruct functional laws of the quasi-exponential class from the knowledge of only a few terms of their power series ...
Abragam A., Abragam A., Courteille P. W., D. SORNETTE, Euler L., Gluzman S., S. GLUZMAN, Shen Z.-K., Sornette D., V. I. YUKALOV   +9 more
core   +2 more sources

Epilepsy‐Associated Variants of a Single SCN1A Codon Exhibit Divergent Functional Properties

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Pathogenic variants in SCN1A, which encodes the voltage‐gated sodium channel NaV1.1, are associated with multiple epilepsy syndromes exhibiting a range of clinical severity. SCN1A variants are reported in different syndromes, including Dravet syndrome, which is associated with loss‐of‐function, whereas neonatal/infantile‐onset ...
Lanie N. Liebovitz, Christopher H. Thompson, Linda C. Laux, Alfred L. George Jr.   +3 more
wiley   +1 more source

Mean Square Exponential Stability of Stochastic Switched System with Interval Time-Varying Delays

Abstract and Applied Analysis, 2012
This paper is concerned with mean square exponential stability of switched stochastic system with interval time-varying delays. The time delay is any continuous function belonging to a given interval, but not necessary to be differentiable.
Manlika Rajchakit, Grienggrai Rajchakit
doaj   +1 more source

Hölder Regularity of Quasiminimizers to Generalized Orlicz Functional on the Heisenberg Group

Journal of Function Spaces, 2020
In this paper, we apply De Giorgi-Moser iteration to establish the Hölder regularity of quasiminimizers to generalized Orlicz functional on the Heisenberg group by using the Riesz potential, maximal function, Calderón-Zygmund decomposition, and covering ...
Junli Zhang, Pengcheng Niu
doaj   +1 more source

Functions of exponential type [PDF]

Transactions of the American Mathematical Society, 1969
(1.5) If'(x)l _ MT12. In this paper we develop a unified method for arriving at these inequalities. In spite of being extremely simple, the method turns out to be very useful and effective. Not only does it give simpler proofs of the above results but yields interesting generalizations as well.
openaire   +2 more sources

Paramagnetic Rim Lesions Are Associated With Trans‐Synaptic Degeneration of the Visual Pathway in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives Retrograde trans‐synaptic degeneration (rTSD) from posterior visual pathway lesions in multiple sclerosis (MS) is characterized by hemi‐macular ganglion cell‐inner plexiform layer (GCIPL) thinning and contralateral visual field loss.
Abdul Jaber Tayem, Angel Liu, Sargis Manukyan, Mustafa Subhi, Elaina Luskin, Bryan Quah, Sreekanth Madhusoodhanan Nair, Arzu C. Has Silemek, Gabriela Zabala, Yujie Cui, Laura Locke, Paula Barreras, Marwa Kaisey, Vinicius Calsavara, Daniel S. Reich, Nancy L. Sicotte, Pascal Sati, Omar Al‐Louzi   +17 more
wiley   +1 more source

Generalized Mean Square Exponential Stability for Stochastic Functional Differential Equations

Mathematics
This work focuses on a class of stochastic functional differential equations and neutral stochastic differential functional equations. By using a new approach, some sufficient conditions are obtained to guarantee the generalized mean square exponential ...
Tianyu He, Zhi Li, Tianquan Feng
doaj   +1 more source

Feedback boundary stabilization of wave equations with interior delay

, 2010
In this paper we consider a boundary stabilization problem for the wave equation with interior delay. We prove an exponential stability result under some Lions geometric condition.
Ammari, K., Nicaise, S., Pignotti, C.
core   +1 more source