Results 41 to 50 of about 173 (138)

Some Properties of Hyper Ideals in Hyper Hoop‐Algebras

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate the structural properties of hyper ideals in hyper hoop‐algebras, a generalization of hoop‐algebras under the framework of hyperstructures. Building upon foundational concepts in hyper group theory and hoop theory, the study introduces definitions for hyper ideals and weak hyper ideals, as well as their absorptive and ...
Teferi Getachew Alemayehu   +5 more
wiley   +1 more source

Convolution operators and the discrete Laplacian

open access: yes, 2009
PhDIn this thesis, we obtain new results for convolution operators on homogeneous spaces and give applications to the Laplacian on a homogeneous graph. Some of these results have been published in joint papers [13, 14] with my supervisor.
Chen, Chung-Chuan
core  

Smarandache semirings, semifields, and semivector spaces [PDF]

open access: yes, 2002
Smarandache notions, which can be undoubtedly characterized as interesting mathematics, has the capacity of being utilized to analyse, study and introduce, naturally, the concepts of several structures by means of extension or identification as a ...
Vasantha, Kandasamy
core   +1 more source

Solvability and Stability of Solutions of (q, τ)‐Fractional Integro‐Differential Models

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate a set of nonlinear (q, τ)‐fractional Fredholm integrodifferential equations that involve memory‐type integral kernels and generalized fractional derivatives. Using a Galerkin technique based on (q, τ)‐Legendre polynomials, we designed an approximation solution and provided a numerical scheme for calculating the integral ...
Shaher Momani   +3 more
wiley   +1 more source

Growth properties of semigroups generated by fractional powers of certain linear operators

open access: yes, 1976
Certain semigroups are generated by powers −(−A)a, for closed operators A in Banach space and 0 < a < 1. Properties of extent of the resolvent set and size of the resolvent operator of A correspond to properties relating to the sectors of holomorphy of ...
Guzman, Alberto
core   +1 more source

Observables, maximal symmetric operators, POV measures and their applications in quantum mechanics

open access: yes, 2015
Approximate observables, their description in terms of POV measures and the subsequent extension of the orthodox notion of observable are examined.
Fountain, Robert H.
core  

An extension of a Phillips' theorem to Banach algebras and application to the uniform continuity of strongly continuous semigroups

open access: yes, 2007
International audienceIn this work we present an extension to arbitrary unital Banach algebras of a result due to Phillips [R.S. Phillips, Spectral theory of semigroups of linear operators, Trans. Amer. Math. Soc.
Paoli, Jean-Martin   +4 more
core   +1 more source

Admissibility and Non-Uniform Dichotomy for Differential Systems

open access: yes, 2004
The problem of nonuniform exponential dichotomy of linear differential systems in Banach spaces is discussed. It is established a connection between the admissibility of a pair of certain function spaces which are translations invariant, on one hand ...
Preda, Ciprian I, Dragomir, Sever S
core  

Ostrowski's Inequality for Vector-Valued Functions and Applications

open access: yes, 2001
Some Ostrowski type inequalities for vector-valued functions are obtained. Applications for operatorial inequalities and numerical approximation for the solutions of certain differential equations in Banach spaces are also ...
Cerone, Pietro   +3 more
core  

Functions of the infinitesimal generator of a strongly continuous quaternionic group [PDF]

open access: yes, 2017
The quaternionic analogue of the Riesz-Dunford functional calculus and the theory of semigroups and groups of linear quaternionic operators have recently been introduced and studied.
Alpay, Daniel   +3 more
core   +1 more source

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