Results 61 to 70 of about 100,397 (305)

$U\left(\mathfrak{h}\right)$-Free Modules over the Lie Algebras of Differential Operators

Mathematics, 2022
This paper mainly considers a class of non-weight modules over the Lie algebra of the Weyl type. First, we construct the U(h)-free modules of rank one over the differential operator algebra.
Munayim Dilxat, Shoulan Gao, Dong Liu, Limeng Xia   +3 more
doaj   +1 more source

Differential operators on orbifolds

Journal of Symbolic Computation, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Organ‐specific redox imbalances in spinal muscular atrophy mice are partially rescued by SMN antisense oligonucleotides

FEBS Letters, EarlyView.
We identified a systemic, progressive loss of protein S‐glutathionylation—detected by nonreducing western blotting—alongside dysregulation of glutathione‐cycle enzymes in both neuronal and peripheral tissues of Taiwanese SMA mice. These alterations were partially rescued by SMN antisense oligonucleotide therapy, revealing persistent redox imbalance as ...
Sofia Vrettou, Brunhilde Wirth
wiley   +1 more source

Tau acetylation at K331 has limited impact on tau pathology in vivo

FEBS Letters, EarlyView.
We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto, Yukio Matsuba, Mika Takahashi, Takaomi C. Saido   +3 more
wiley   +1 more source

Oscillation of Second-Order Differential Equations with Multiple and Mixed Delays under a Canonical Operator

, 2021
In this work, we obtained new sufficient and necessary conditions for the oscillation of second-order differential equations with mixed and multiple delays under a canonical operator.
Khaled Mohamed Khedher, Rami Ahmad El-Nabulsi, Shyam Sundar Santra   +2 more
core   +1 more source

Determining the differential operator boundary value problems on graphs

Data Analytics and Applied Mathematics
The behaviour of functions on graph structures is studied mathematically in the context of differential operator boundary value issues on graphs. The finding of differential operators for graph boundary value issues is the focus of this abstract.
Feroz Sheakib, Najibullah Zahid , Ghulam Hazrat Aimal Rasa   +2 more
doaj   +1 more source

Neutral Operator and Neutral Differential Equation

Abstract and Applied Analysis, 2011
In this paper, we discuss the properties of the neutral operator (Ax)(t)=x(t)−cx(t−δ(t)), and by applying coincidence degree theory and fixed point index theory, we obtain sufficient conditions for the existence, multiplicity, and nonexistence of ...
Jingli Ren, Zhibo Cheng, Stefan Siegmund
doaj   +1 more source

Geometry of differential operators and odd Laplace operators [PDF]

Russian Mathematical Surveys, 2003
We solve the following problem: to describe in geometric terms all differential operators of the second order with a given principal symbol. Initially the operators act on scalar functions. Operator pencils acting on densities of arbitrary weights appear naturally in the course of study.
Voronov, F. F., Khudaverdyan, O. M.
openaire   +2 more sources

Structural insights into an engineered feruloyl esterase with improved MHET degrading properties

FEBS Letters, EarlyView.
A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa, Konstantinos Makryniotis, Theofani‐Iosifina Sousani, Evangelos Topakas, Vangelis Daskalakis, Maria Dimarogona   +5 more
wiley   +1 more source

qianyingcao/Laplace-Neural-Operator: Code and data for Laplace neural operator for solving differential equations

<p>This release gives the code and data for Laplace neural operator for solving differential equations.</p ...
qianyingcao
core   +1 more source