Results 41 to 50 of about 20,648 (261)

Weighted pseudo-almost periodic solutions for some neutral partial functional differential equations

Electronic Journal of Differential Equations, 2012
In this article we study the existence of weighted pseudo almost periodic solutions of an autonomous neutral functional differential equation with Stepanov-Weighted pseudo almost periodic terms in a Banach space.
Mondher Damak, Khalil Ezzinbi, Lotfi Souden   +2 more
doaj  

Stochastic models associated to a Nonlocal Porous Medium Equation

Modern Stochastics: Theory and Applications, 2018
The nonlocal porous medium equation considered in this paper is a degenerate nonlinear evolution equation involving a space pseudo-differential operator of fractional order.
Alessandro De Gregorio
doaj   +1 more source

Periodic solutions to a class of distributed delay differential equations via variational methods

Advances in Nonlinear Analysis, 2023
In this article, we study the existence of periodic solutions to a class of distributed delay differential equations. We transform the search for periodic solutions with the special symmetry of a delay differential equation to the problem of finding ...
Xiao Huafeng, Guo Zhiming
doaj   +1 more source

Neurochemical Endpoints to Inform Early‐Stage Trials of Spinocerebellar Ataxia 2 and 3 in a Multisite Setting

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Neurochemical levels measured by brain MR spectroscopy (MRS) have been proposed as endpoints for clinical trials in early‐stage spinocerebellar ataxia (SCA) trials. We tested their trial‐readiness by quantifying neurochemicals in three affected brain regions in early‐stage cohorts of SCA2 and SCA3, examining their reproducibility in ...
James M. Joers, Yaqiao Wei, Dinesh K. Deelchand, Adam Berrington, Young Woo Park, Guita Banan, Michal Povazan, Jens T. Rosenberg, André J. W. van der Kouwe, Tetsuo Ashizawa, Khalaf O. Bushara, Chiadi U. Onyike, Sub H. Subramony, Jeremy D. Schmahmann, Brian J. Soher, Peter B. Barker, Thomas H. Mareci, Eva‐Maria Ratai, Lynn E. Eberly, Gülin Öz   +19 more
wiley   +1 more source

Boundary-value problems in a layer for evolutionary pseudo-differential equations with integral conditions

Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2018
Boundary-value problems for evolutionary pseudo-differential equations with an integral condition are studied. Necessary and sufficient conditions of well-posedness are obtained for these problems in the Schwartz spaces.
A. A. Makarov, D. A. Levkin
doaj  

Quasi-P-Wave Reverse Time Migration in TTI Media with a Generalized Fractional Convolution Stencil

Fractal and Fractional
In seismic modeling and reverse time migration (RTM), incorporating anisotropy is crucial for accurate wavefield modeling and high-quality images. Due to the trade-off between computational cost and simulation accuracy, the pure quasi-P-wave equation has
Shanyuan Qin, Jidong Yang, Ning Qin, Jianping Huang, Kun Tian   +4 more
doaj   +1 more source

On the Well-Posedness for a Class of Pseudo-Differential Parabolic Equations [PDF]

Integral Equations and Operator Theory, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Baseline Neuroinflammation Stratifies TSPO‐PET Response to Disease‐Modifying Therapy in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To investigate which baseline clinical and imaging characteristics best predict TSPO‐PET‐measurable reduction in glial activation following treatment of multiple sclerosis (MS), to utilize this information for designing more efficient biomarker‐based clinical trials targeting glial activation.
Marlene T. Morch, Markus Matilainen, Giulia N. Baldrighi, Marjo Nylund, Maija Saraste, Laura Airas   +5 more
wiley   +1 more source

Chebyshev pseudo-spectral method for optimal control problem of Burgers’ equation [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2019
In this study, an indirect method is proposed based on the Chebyshev pseudo-spectral method for solving optimal control problems governed by Burgers’ equation.
F. Mohammadizadeh, H. A. Tehrani, M. H. Noori Skandari   +2 more
doaj   +1 more source

Solving pseudo-differential equations

, 2003
In 1957, Hans Lewy constructed a counterexample showing that very simple and natural differential equations can fail to have local solutions. A geometric interpretation and a generalization of this counterexample were given in 1960 by L.Hörmander. In the early seventies, L.Nirenberg and F.Treves proposed a geometric condition on the principal symbol ...
openaire   +2 more sources