Results 71 to 80 of about 2,572,519 (223)

Notes on analytic convoluted C-semigroups

Publications de l'Institut Mathematique, 2010
We establish some new structural properties of exponentially bounded, analytic convoluted C-semigroups and state a version of Kato?s analyticity criterion for such a class of operator semigroups. Our characterizations completely cover the case of analytic fractionally integrated C-semigroups.
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Topological Aspects of Quadratic Graphs and M‐Polynomials Utilizing Classes of Finite Quasigroups

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Material science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index. Graphs with finite algebraic structure find extensive applications in fields such as mathematics, elliptic curve cryptography, physics, robotics and information theory ...
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Sagir, Abdu Qaid Alameri, Pramita Mishra   +5 more
wiley   +1 more source

Fréchet Differentiability of Parameter-Dependent Analytic Semigroups

Journal of Mathematical Analysis and Applications, 1999
The authors study dependence on a vector-valued parameter \(q\) of a collection of analytic semigroups \(\{T(t;q), t\geq 0\}\). The analyticity of the map \(q\mapsto T(t;q)\) in the uniform operator topology is established and, moreover, the Fréchet derivative of \(T(t;q)\) with respect to \(q\) is given by a norm-convergent contour integral.
Seubert, S, Wade, J.G
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Delving Into the Depths of the Properties and Behavior of Bipolar Pythagorean Neutrosophic Metric Spaces: A Theoretical Analysis

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper advances the theory of bipolar Pythagorean neutrosophic fuzzy (BPNF) sets by establishing their formalization within a topological and metric framework, while also demonstrating their role in decision‐making under uncertainty. The main contributions are as follows: (1) definition and characterization of BPNF topological spaces, providing a ...
Akiladevi Natarajan, Santhi Rathinasamy, Prasantha Bharathi Dhandapani, Md. Fayz-Al-Asad, Samy R. Mahmoud, Tareq Al-Shami   +5 more
wiley   +1 more source

Existence and uniqueness of strong solutions for nonlocal evolution equations

Electronic Journal of Differential Equations, 2014
The aim of this article is to study the existence and uniqueness of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions. The discussions are based on analytic semigroup theory and fixed point theorems.
Pengyu Chen, Yongxiang Li
doaj  

Nonlinear perturbations of analytic semigroups

Semigroup Forum, 1991
From the author's text: ``This is a survey article which outlines recent work on relatively continuous perturbations of analytic semigroups in Banach spaces. The results are described from the point of view of nonlinear semigroup theory. Necessary and sufficient conditions are discussed for a semilinear operator \(A+B\) to be the full infinitesimal ...
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Derivations and KMS-Symmetric Quantum Markov Semigroups. [PDF]

Commun Math Phys, 2023
Vernooij M, Wirth M.
europepmc   +1 more source

Functional calculus for generators of analytic semigroups of operators

Karpatsʹkì Matematičnì Publìkacìï, 2012
We construct a functional calculus for generators of one-parameter boundedanalytic semigroups of operators on a Banach space. The calculus symbol classconsist of the Laplace image of the convolution algebra $cal S'_+$ of tempereddistributions with ...
Lopushansky O.V., Sharyn S.V.
doaj  

Functional Analytic Properties of Extremely Amenable Semigroups [PDF]

Transactions of the American Mathematical Society, 1969
Introduction. Let S be a semigroup m(S) the Banach space of all bounded real functions on S with the norm lf l =sup {ff(s)I; s E S} and m(S)* the conjugate Banach space of m(S). 1 E m(S)* is a mean if > O (i.e. +(f)O> iff O, fe m(S)) and q(1) = 1 (1 stands also for the constant one function on S). The semigroup S is left amenable (LA) if there exists a
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Existence of Mild Solutions to Delay Diffusion Equations with Hilfer Fractional Derivative

Fractal and Fractional
Because of the prevalent time-delay characteristics in real-world phenomena, this paper investigates the existence of mild solutions for diffusion equations with time delays and the Hilfer fractional derivative.
Yuhang Jin, Wenchang He, Luyao Wang, Jia Mu   +3 more
doaj   +1 more source