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Linear Version of the Anti-Perron Effect of Change of Positive Characteristic Exponents to Negative Ones
AbstractA linear version of the anti-Perron effect of changing all positive Lyapunov characteristic exponents to negative ones is realized. For...
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Oriented Rotatability Exponents of Solutions to Homogeneous Autonomous Linear Differential Systems
We fully study the oriented rotatability exponents of solutions to homogeneous autonomous linear differential systems and establish that the strong...
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Comparing the Spectra of Oscillation Exponents of a Nonlinear System and the First Approximation System
AbstractWe study the oscillation exponents of differential systems. It is established that there is no dependence between the spectra of oscillation...
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Badly Approximable Matrices and Diophantine Exponents
AbstractThis paper is a survey of results concerning different kinds of Diophantine exponents. Special attention is paid to the transference...
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Bilinear fractional Hardy-type operators with rough kernels on central Morrey spaces with variable exponents
We introduce a type of n -dimensional bilinear fractional Hardy-type operators with rough kernels and prove the boundedness of these operators and...
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On Essential Values of Oscillation Exponents for Solutions of a Linear Homogeneous Two-Dimensional Differential System
In this paper, we study various types of oscillation exponents for solutions of linear homogeneous differential systems with continuous bounded...
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Renormalized Solutions to a Class of Noncoercive Parabolic Equations with Variable Exponents
A class of nonlinear parabolic equations with variable exponents and noncoercive term is investigated in this paper. With the help of truncation...
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The Method of Boundary Value Problems in the Study of the Basis Properties of Perturbed System of Exponents in Banach Function Spaces
This paper considers the method of Riemann boundary value problems of the theory of analytic functions to study basis properties of perturbed systems...
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Critical exponents for a percolation model on transient graphs
We consider the bond percolation problem on a transient weighted graph induced by the excursion sets of the Gaussian free field on the corresponding...
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Lyapunov Exponents Everywhere and Rigidity
In the present work, we obtain rigidity results analyzing the set of regular points, in the sense of Oseledec’s Theorem. It is presented a study on...
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A modular Poincaré–Wirtinger inequality for Sobolev spaces with variable exponents
In the context of Sobolev spaces with variable exponents, Poincaré–Wirtinger inequalities are possible as soon as Luxemburg norms are considered. On...
