Poincaré-Perron problem for high order differential equations in the class of almost periodic type functions [PDF]
Journal of Differential EquationsH. Bustos, Pablo Figueroa, Manuel Pinto
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Condenser capacities and capacitary potentials for unbounded sets, and global p-harmonic Green functions on metric spaces [PDF]
Communications in Partial Differential Equations, 2023 . We study the condenser capacity capp(E, Ω) on unbounded open sets Ω in a proper connected metric space X equipped with a locally doubling measure supporting a local p-Poincaré inequality, where ...
Anders Björn, Jana Björn
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The Perron method for p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varvec{p}$$\end{document}-harmonic functions i [PDF]
Mathematische Zeitschrift, 2017 The Perron method for solving the Dirichlet problem for p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
Daniel Hansevi
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AIMS Mathematics, 2022 This paper discusses the study of asymptotic behavior of non-oscillatory solutions for high order differential equations of Poincaré type. We present two new and weaker hypotheses on the coefficients, which implies a well posedness result and a ...
Aníbal Coronel , Fernando Huancas
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Solutions of the Multivariate Inverse Frobenius–Perron Problem [PDF]
Entropy, 2021 We address the inverse Frobenius–Perron problem: given a prescribed target distribution ρ, find a deterministic map M such that iterations of M tend to ρ in distribution. We show that all solutions may be written in terms of a factorization that combines
C. Fox, L.-J. Hsiao, Jeong-Eun Lee
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On modified Bitsadze–Samarskiy problem
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2007 We study the non-local boundary value problem which is an analogue of the Bitsadze–Samarskiy problem. For the two-dimensional case we reduce this problem to the local boundary value problem, more exactly to the Dirichlet problem for the analogue of the ...
L. A. Kovaleva
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Asymptotic integration of a linear fourth order differential equation of Poincaré type
Electronic Journal of Qualitative Theory of Differential Equations, 2015 This article deals with the asymptotic behavior of nonoscillatory solutions of fourth order linear differential equation where the coefficients are perturbations of constants.
Anibal Coronel +2 more
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On Hermite’s problem, Jacobi–Perron type algorithms, and Dirichlet groups [PDF]
Acta Arithmetica, 2021 In 1848 Ch.~Hermite asked if there exists some way to write cubic irrationalities periodically. A little later in order to approach the problem C.G.J.~Jacobi and O.~Perron generalized the classical continued fraction algorithm to the three-dimensional ...
O. Karpenkov
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ASYMPTOTIC BEHAVIOR OF NONOSCILLATORY SOLUTIONS OF FOURTH ORDER LINEAR DIFFERENTIAL EQUATIONS
Selecciones Matemáticas, 2016 This article deals with the asymptotic behavior of nonoscillatory solutions of fourth order linear differential equation where the coefficients are perturbations of linear constant coefficient equation. We define a change of variable and deduce that the
Aníbal Coronel +2 more
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