Results 71 to 80 of about 822,876 (350)

Transfer Equation in General Curvilinear Coordinates

open access: yesOpen Astronomy, 2011
The differential operator of the monochromatic polarized radiative transfer equation is studied in case of statistically homogeneous turbid medium in Euclidean three-dimensional space, with arbitrary curvilinear coordinate system defined in it.
Freimanis J.
doaj   +1 more source

Analysis of differential equations involving Caputo–Fabrizio fractional operator and its applications to reaction–diffusion equations

open access: yesAdvances in Differential Equations, 2019
This manuscript deals with fractional differential equations including Caputo–Fabrizio differential operator. The conditions for existence and uniqueness of solutions of fractional initial value problems is established using fixed point theorem and ...
A. Shaikh   +3 more
semanticscholar   +1 more source

Valosin‐containing protein counteracts ATP‐driven dissolution of FUS condensates through its ATPase activity in vitro

open access: yesFEBS Letters, EarlyView.
Biomolecular condensates formed by fused in sarcoma (FUS) are dissolved by high ATP concentrations yet persist in cells. Using a reconstituted system, we demonstrate that valosin‐containing protein (VCP), an AAA+ ATPase, counteracts ATP‐driven dissolution of FUS condensates through its D2 ATPase activity.
Hitomi Kimura   +2 more
wiley   +1 more source

Generalized Briot-Bouquet Differential Equation Based on New Differential Operator with Complex Connections

open access: yesAxioms, 2020
A class of Briot–Bouquet differential equations is a magnificent part of investigating the geometric behaviors of analytic functions, using the subordination and superordination concepts. In this work, we aim to formulate a new differential operator with
Rabha W. Ibrahim   +2 more
doaj   +1 more source

The coupled Boussinesq equation and its Darboux transformation on the time–space scale

open access: yesFrontiers in Physics, 2022
Gel’fand-Dikii (GD) formalism is an approach for generating integrable systems in terms of fractional powers of the δ differential operator. In this paper, it extends the GD formalism associated with the third-order δ differential operator L to the time ...
Xiaoqian Huang, Yong Zhang, Huanhe Dong
doaj   +1 more source

On the discrete and continuous Miura chain associated with the sixth Painlev equation [PDF]

open access: yes, 2000
A Miura chain is a (closed) sequence of differential (or difference) equations that are related by Miura or B\"acklund transformations. We describe such a chain for the sixth Painlev\'e equation (\pvi), containing, apart from \pvi itself, a Schwarzian ...
Hone, A. N. W.   +8 more
core   +1 more source

Diversity and complexity in neural organoids

open access: yesFEBS Letters, EarlyView.
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley   +1 more source

Optimal control of stochastic partial differential equations in Banach spaces [PDF]

open access: yes, 2010
In this thesis we study optimal control problems in Banach spaces for stochastic partial differential equations. We investigate two different approaches.
Serrano Perdomo, Rafael Antonio   +1 more
core  

On differential operators and differential equations on torus

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018
Summary: In this paper, we consider periodic boundary value problems for a differential equation whose coefficients are trigonometric polynomials. The spaces of generalized functions are constructed, in which the problems considered have solutions, in particular, the solvability space of a periodic analogue of the Mizohata equation is constructed.
openaire   +2 more sources

Higher order nonlinear degenerate differential operator equations

open access: yesApplied Mathematics Letters, 2009
The authors present optimal regularity results in \(L^p(0,a;E)\) for nonlocal boundary value problems for higher order nonlinear degenerate differential operator equations of the type \[ (-1)^m u^{[2m]}(x) +\sum_{i=0}^{2m-1} A_i(x) u^{[i]}(x)+Au(x)=F(x,u, u^{[1]},\dots,u^{[2m-1]}) \] with boundary conditions \[ \sum_{i=0}^{m_k}\alpha_{ki}u^{[i]}(0 ...
Agarwal, Ravi P.   +2 more
openaire   +3 more sources

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