Results 1 to 10 of about 85,735,734 (209)
Современная математика: Фундаментальные направления, 2021 In this paper, we obtain necessary and sufficient conditions for the existence of variational principles for a given first-order differential-difference operator equation with a special form of the linear operator Pλ(t) depending on t and the nonlinear ...
I. A. Kolesnikova
doaj +1 more source
Results in Physics, 2022 Scientists and researchers are increasingly interested in mathematical modelling of infectious diseases with non-integer order. It is self-evident that a fixed order can only characterize classical models in epidemiology, but models with fractional-order
Joshua Kiddy K. Asamoah
doaj +1 more source
Ubiquitous Nature of the Reduced Higher Order SVD in Tensor-Based Scientific Computing
Frontiers in Applied Mathematics and Statistics, 2022 Tensor numerical methods, based on the rank-structured tensor representation of d-variate functions and operators discretized on large n⊗d grids, are designed to provide O(dn) complexity of numerical calculations contrary to O(nd) scaling by conventional
Venera Khoromskaia, Boris N. Khoromskij
doaj +1 more source
Electronic Journal of Differential Equations, 2020 In this article, we give new results on the study of elliptic complete abstract second order differential equations with variable operator coefficients under Dirichlet boundary conditions, and set in \(\mathbb{R}_+\).
Fatiha Boutaous
doaj +1 more source
Noncommutative Functional Calculus and Its Applications on Invariant Subspace and Chaos
Mathematics, 2020 Let T:H→H be a bounded linear operator on a separable Hilbert space H. In this paper, we construct an isomorphism Fxx*:L2(σ(|T−a|),μ|T−a|,ξ)→L2(σ(|(T−a)*|),μ|(T−a)*|,Fxx*Hξ) such that (Fxx*)2=identity and Fxx*H is a unitary operator on H associated with ...
Lvlin Luo
doaj +1 more source
AIP Advances, 2018 Nonlinearities in finite dimensions can be linearized by projecting them into infinite dimensions. Unfortunately, the familiar linear operator techniques that one would then hope to use often fail since the operators cannot be diagonalized.
Paul M. Riechers, James P. Crutchfield
doaj +1 more source
International Journal of Analysis and Applications, 2015 Let X and Y two complex Banach spaces and (A,B) a pair of bounded linear operators acting on X with value on Y. This paper is concerned with spectral analysis ofthe pair (A;B): We establish some properties concerning the spectrum of the linear operator
Bekkai Messirdi +2 more
doaj +2 more sources
Известия Иркутского государственного университета: Серия "Математика", 2015 Solvability theorem for the Cauchy problem to a degenerate linear evolution equation of fractional order in a Banach space is used for deriving of necessary and sufficient conditions of solvability for some arising in hydrodynamics equations systems of ...
D.M. Gordievskikh, V.E. Fedorov
doaj
Exponential type distributions and a generalized functional calculus for generators of $C_0$-groups
Karpatsʹkì Matematičnì Publìkacìï, 2011 The properties of a dual space to a space of entire functionsof expo-nen-tial type of many complex variables, that on thereal subspace belongs to $L_p(mathbb R^n)$ $(1le ...
V. Ya. Lozynska
doaj
Some new numerical radius inequalities via an improved version of the triangle inequality
Journal of Inequalities and ApplicationsIn this paper, we establish several new numerical radius inequalities for bounded linear operators on complex Hilbert spaces by employing refined versions of the classical triangle inequality.
Yonghui Ren +2 more
doaj +1 more source