Results 91 to 100 of about 742,712 (288)

On the reducibility of linear differential operators with unbounded operator coefficients

, 1993
The results conccraing the reducing of linear dilierential operators wjlh unbounded operator coefficients to differential operators with a simpler structure arc obtained.Results on the reducibility of linear differential operators with unbounded operator
Баскаков, А.Г.
core   +1 more source

On the spectral properties of a class of high-order differential operators with operator coefficients

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
In this paper, we study one class of high - order differential operators. The main feature of these operators is their nonsemi - boundedness. The dependence of operator coefficients on variables creates additional difficulties in the study.
M.B. Muratbekov, S.Zh. Igisinov, B.M. Musilimov, R.R. Makulbekova   +3 more
doaj  

Quantitative stochastic homogenization of elliptic equations with unbounded coefficients

, 2023
In this paper, we consider stochastic homogenization of elliptic equations with unbounded and non-uniformly elliptic coefficients. Extending subadditive arguments, we get an estimate for the rate of the convergence of the solution of the Dirichlet ...
Aya, Tomohiro
core  

SDF‐1 Attenuates Oocyte Quality Decline During Reproductive Aging Through Autophagy‐Enhanced Stress Granule Scavenging

Advanced Science, EarlyView.
SDF‐1 levels decline significantly with maternal aging. Exogenous supplementation restores meiotic spindle morphology, chromosomal alignment, and mitochondrial function while reducing oxidative stress in aged oocytes. Mechanistically, SDF‐1 enhances autophagic activity to clear accumulated stress granules, thereby rescuing fertilization competence and ...
Rui Long, Meng Wang, Ruolin Mao, Hong Chen, Juepu Zhou, Xiangfei Wang, Zheng Yuan, Ri‐Cheng Chian, Nan Xiao, Qingsong Xi, Yimin Shu, Lei Jin, Lixia Zhu   +12 more
wiley   +1 more source

Regularized trace formula for higher order differential operators with unbounded coefficients

Electronic Journal of Differential Equations, 2016
In this work we obtain the regularized trace formula for an even-order differential operator with unbounded operator coefficient.
Erdogan Sen, Azad Bayramov, Kamil Orucoglu   +2 more
doaj  

Stochastic Equations with an Unbounded Operator Coefficient and Multiplicative Noise

Siberian Mathematical Journal, 2017
The existence of a unique solution of the Cauchy problem for the operator stochastic differential equation \[ \frac{dX(t)}{dt}=AX(t)+B(X(t))\diamond W(t),\quad X(0)=\zeta \] is proved, where \(A\) is the generator of a semigroup of class \(C_0\) in a Hilbert space \(H\), \(B\) is in a specified class of operators (that includes some unbounded operators)
Melnikova, I. V., Alshanskiy, M. A.
openaire   +1 more source

The ergodic problem for some subelliptic operators with unbounded coefficients [PDF]

, 2016
article 47International audienceWe study existence and uniqueness of the invariant measure for a stochastic process with degenerate diffusion, whose infinitesimal generator is a linear subelliptic operator in the whole space R N with coefficients that ...
Tchou, Nicoletta, Mannucci, Paola, Marchi, Claudio   +2 more
core   +1 more source

Nanoparticle‐Mediated TIPE1 mRNA Delivery Enhances Paclitaxel Sensitivity in Triple‐Negative Breast Cancer by Modulating RAB7A Ubiquitination‐Associated Stability and Autophagy

Advanced Science, EarlyView.
TIPE1m NPs nanoparticles restore TIPE1 expression, promote RAB7A ubiquitination and degradation, suppress autophagic flux, and resensitize paclitaxel‐resistant triple‐negative breast cancer to therapy. ABSTRACT Acquired paclitaxel (PTX) resistance remains a major obstacle in triple‐negative breast cancer (TNBC) treatment.
Wei Hu, Qishuai Chen, Yan Ma, Yang Liu, Xianing Dong, Wenjuan Wei, Jianxin Du, Shusheng Qiu, Maojin Tian, Peiqing Zhao   +9 more
wiley   +1 more source

Imbedding estimates and elliptic equations with discontinuous coefficients in unbounded domain

Le Matematiche, 1996
In this paper we deal with the multiplication operator u ∈ W^{k,p} (Ω) → gu ∈ L^q (Ω), with g belonging to a space of Morrey type. We apply our results in order to establish an a-priori bound for the solutions of the Dirichlet problem concerning elliptic
Paola Cavaliere, Maria Longobardi, Antonio Vitolo   +2 more
doaj  

The Global Solutions and Moment Boundedness of Stochastic Multipantograph Equations

Journal of Control Science and Engineering, 2016
We consider the existence of global solutions and their moment boundedness for stochastic multipantograph equations. By the idea of Lyapunov function, we impose some polynomial growth conditions on the coefficients of the equation which enables us to ...
Maosheng Tian, Xuejing Meng, Jihong Chen, Xiaoqi Tang   +3 more
doaj   +1 more source