Results 41 to 50 of about 42,254 (264)

Operator Matrices as Generators of Cosine Operator Functions [PDF]

Integral Equations and Operator Theory, 2005
We introduce an abstract setting that allows to discuss wave equations with time-dependent boundary conditions by means of operator matrices. We show that such problems are well-posed if and only if certain perturbations of the same problems with homogeneous, time-independent boundary conditions are well-posed.
openaire   +2 more sources

Cell geometry and membrane protein crowding constrain Escherichia coli growth rate, overflow metabolism, respiration, and maintenance energy

FEBS Letters, EarlyView.
The physical dimensions and shape of bacterial cells define the surface area available to acquire nutrients and the volume available for synthesizing proteins and DNA. Here, we use computational systems biology to decode the importance of cell geometry as a major determinant of prokaryotic phenotype, including growth rate and metabolic efficiency. This
Ross P. Carlson, Tomáš Gedeon, Mauricio Garcia Benitez, Campbell Putnam, William R. Harcombe, Radhakrishnan Mahadevan, Ashley E. Beck   +6 more
wiley   +1 more source

New convolved Fibonacci collocation procedure for the Fitzhugh–Nagumo non-linear equation

Nonlinear Engineering
This article is dedicated to propose a spectral solution for the non-linear Fitzhugh–Nagumo equation. The proposed solution is expressed as a double sum of basis functions that are chosen to be the convolved Fibonacci polynomials that generalize the well-
Abd-Elhameed Waleed Mohamed, Al-Harbi Mohamed Salem, Atta Ahmed Gamal   +2 more
doaj   +1 more source

Microbiome−host proteostasis crosstalk—An emerging perspective on mechanisms and interventions toward healthy longevity

FEBS Letters, EarlyView.
Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
wiley   +1 more source

A fast numerical method for fractional partial differential equations

Advances in Difference Equations, 2019
In this paper, we use operational matrices of Chebyshev polynomials to solve fractional partial differential equations (FPDEs). We approximate the second partial derivative of the solution of linear FPDEs by operational matrices of shifted Chebyshev ...
S. Mockary, E. Babolian, A. R. Vahidi
doaj   +1 more source

Spectral analysis of variable-order multi-terms fractional differential equations

Open Physics, 2023
In this work, a numerical scheme based on shifted Jacobi polynomials (SJPs) is deduced for variable-order fractional differential equations (FDEs). We find numerical solution of consider problem of fractional order. The proposed numerical scheme is based
Shah Kamal, Abdeljawad Thabet, Jeelani Mdi Begum, Alqudah Manar A.   +3 more
doaj   +1 more source

Linear operators on matrices: the invariance of rank-k matrices

Linear Algebra and its Applications, 1989
The authors present the following: A characterization is given of all nonsingular linear operators, on the set of \(m\times n\) matrices over any field with at least four elements, which map the set of rank-k matrices into itself. It is shown that if \({\mathcal S}\) is any subspace of \(m\times n\) matrices over any field with at least \(k+1 ...
Beasley, LeRoy B., Laffey, Thomas J.
openaire   +2 more sources

From mice to humans—divergent strategies for intestinal homeostasis and regeneration

FEBS Letters, EarlyView.
Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa, Shinya Sugimoto, Toshiro Sato   +2 more
wiley   +1 more source

A pseudo−operational collocation method for optimal control problems of fractal−fractional nonlinear Ginzburg−Landau equation [PDF]

Iranian Journal of Numerical Analysis and Optimization
The presented work introduces a new class of nonlinear optimal control problems in two dimensions whose constraints are nonlinear Ginzburg−Landau equations with fractal−fractional (FF) derivatives. To acquire their ap-proximate solutions, a computational
T. Shojaeizadeh, E. Golpar-Raboky, Parisa Rahimkhani   +2 more
doaj   +1 more source

Operator matrices in class Cρ

Linear Algebra and its Applications, 2007
A bounded linear operator \(T\) on the Hilbert space \(H\) is said to be a \(\rho\)-contraction \((\rho>0)\) if there exists a unitary operator \(U\) on a space \(K\) containing \(H\) such that \(T^n=\rho P_HU^n|H\) for all \(n\geq 1\), where \(P_H\) denotes the orthogonal projection from \(K\) onto \(H\).
Cassier, G., Zerouali, E.H.
openaire   +2 more sources