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Application of the Green–Samoilenko Function and Operator to the Investigation of Non-Lipschitz Differential Equations
For systems of non-Lipschitz differential equations, we establish conditions for the existence of invariant sets. To obtain this result, we apply the...
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On Operator Lipschitz Norm of the Function zn on Finite Subsets of the Unit Circle
The paper contains some remarks concerning the behavior of the operator Lipschitz norm of the functions z n on subsets of the unit circle. In...
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On the Spectrum Localization of an Operator-Function Arising at Studying Oscillations of a Viscoelastic Pipeline with Kelvin–Voigt Friction
AbstractIn this paper we consider an operator function being a symbol of the abstract integro-differential equation describing the oscillations of a...
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Multi-attribute group decision-making method based on weighted partitioned Maclaurin symmetric mean operator and a novel score function under neutrosophic cubic environment
Neutrosophic cubic set is the generalized version of neutrosophic sets and interval neutrosophic sets. It can deal with the complex information by...
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Some new Chebyshev type inequalities for fractional integral operator containing a further extension of Mittag-Leffler function in the kernel
Among recent investigations of fractional integral operators including various extensions of the Mittag-Leffler function in the kernel, very...
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Asymptotics of the Spectrum of a Hartree Type Operator with Self-Consistent Potential Including the Macdonald Function
We study the eigenvalue problem for a perturbed two-dimensional oscillator. The role of a perturbation is played by a Hartree type integral...
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Harris Hawk Optimization Algorithm Based on Cauchy Distribution Inverse Cumulative Function and Tangent Flight Operator
Harris Hawk Optimization (HHO) algorithm is a new population-based and nature-inspired optimization paradigm, which has strong global search ability,...
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Recent Developments in the Interplay Between Function Theory and Operator Theory for Block Toeplitz, Hankel, and Model Operators
This is a semi-expository paper on some recent developments in the interplay between function theory and operator theory in the context of Toeplitz,...
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Probability Distributions as Alternatives of the Density Operator and Wave Function for Describing Quantum States
OurWave function goal is to discuss Born’s rule and the probability representationProbability representation of quantum mechanics. We review the...
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A Subclass of Close-to-Convex Function Involving Srivastava-Tomovski Operator
Using Mittag-Leffler function, we study a new family of functions associated with a conic domain. Inclusion relations, coefficient estimates, and...
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On the Properties of the Root Vector Function Systems of a \(2m \)th-Order Dirac Type Operator with an Integrable Potential
AbstractWe consider a Dirac type operator with matrix coefficients. Estimates for the root vector functions are established, and criteria for the...
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The Implicit Intersection Operator: The Function You’ll Probably Never Use
We just said it before, and we’ll say it again: you probably won’t ever use the intersection operator, for reasons we’re about to detail. But the...
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Function characterizations via commutators of Hardy operator
This paper is a summary of the research on the characterizations of central function spaces by the author and his collaborators in the past ten...