Results 1 to 10 of about 1,012 (93)
Similar Operators and a Functional Calculus for the First-Order Linear Differential Operator
Advances in Applied Mathematics, 1999 For linear functional equations which are similar to differential equations with constant coefficients, the general solution is constructed explicitly by means of operational methods.
Elizarraraz, David, Verde-Star, Luis
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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
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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
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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
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Some Properties of Fractional Calculus and Linear Operators Associated with Certain Subclass of Multivalent Functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2009 We investigate several distortion inequalities involving fractional calculus, Ruscheweyh derivatives, and some well‐known integral operators. In special cases, the results presented in this paper provide new approaches to several previously known results.
Sh. Khosravianarab +2 more
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Operator Theory on One-Sided Quaternionic Linear Spaces: Intrinsic S-Functional Calculus and Spectral Operators [PDF]
Memoirs of the American Mathematical Society, 2021 Two major themes drive this article: identifying the minimal structure necessary to formulate quaternionic operator theory and revealing a deep relation between complex and quaternionic operator theory. The theory for quaternionic right linear operators is usually formulated under the assumption that there exists ...
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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
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Some characterization and distortion theorems involving fractional calculus, generalized hypergeometric functions, Hadamard products, linear operators, and certain subclasses of analytic functions [PDF]
Nagoya Mathematical Journal, 1987 By using a certain linear operator defined by a Hadamard product or convolution, several interesting subclasses of analytic functions in the unit disk are introduced and studied systematically. The various results presented here include, for example, a number of coefficient estimates and distortion theorems for functions belonging to these subclasses ...
Srivastava, H. M., Owa, Shigeyoshi
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Phase space analysis and functional calculus for the linearized Landau and Boltzmann operators
Kinetic & Related Models, 2013 In many works, the linearized non-cutoff Boltzmann operator is considered to behave essentially as a fractional Laplacian. In the present work, we prove that the linearized non-cutoff Boltzmann operator with Maxwellian molecules is exactly equal to a fractional power of the linearized Landau operator which is the sum of the harmonic oscillator and the ...
Lerner, Nicolas +3 more
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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
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