Results 21 to 30 of about 695,650 (225)

Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations [PDF]

Opuscula Mathematica
In this study, we addressed the nonoscillation of th Sturm-Liouville differential equation with a differential operator, which corresponds to a proportional-derivative controller. The equation is a conformable linear differential equation. A Wintner-type
Kazuki Ishibashi
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A Liouville theorem for Axi-symmetric Navier–Stokes equations on $${\mathbb {R}}^2 \times {\mathbb {T}}^1$$ [PDF]

Mathematische Annalen, 2019
We establish a Liouville theorem for bounded mild ancient solutions to the axi-symmetric incompressible Navier-Stokes equations on $(-\infty, 0] \times (\mathbb{R}^2 \times \mathbb{T}^1)$.
Zhen Lei, Xiao Ren, Qi S. Zhang
semanticscholar   +1 more source

A proof of Liouville’s theorem [PDF]

Proceedings of the American Mathematical Society, 1961
1. S. Bochner, Group invariance of Cauchy's formula in several variables, Ann. of Math. vol. 45 (1944) pp. 686-707. 2. E. Heinz, Ein v. Neumannscher Satz iuber beschriinkte Operatoren im Hilbertschen Raum, Nachr. Akad. Wiss. Gottingen. Math.-Phys. Kl. Ila. (1952) pp. 5-6. 3. J.
openaire   +1 more source

Liouville’s theorem for generalized harmonic function [PDF]

Analysis and Mathematical Physics, 2020
In this paper, we give a more physical proof of Liouville's theorem for a class generalized harmonic functions by the method of parabolic equation.
Weihua Wang, Qihua Ruan
openaire   +2 more sources

A Liouville Theorem for the Euler Equations in the Plane [PDF]

Archive for Rational Mechanics and Analysis, 2017
This paper is concerned with qualitative properties of bounded steady flows of an ideal incompressible fluid with no stagnation point in the two-dimensional plane R2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage ...
F. Hamel, N. Nadirashvili
semanticscholar   +1 more source

Positive Solutions for a Higher-Order Semipositone Nonlocal Fractional Differential Equation with Singularities on Both Time and Space Variable

Journal of Function Spaces, 2019
In this paper, we consider the following higher-order semipositone nonlocal Riemann-Liouville fractional differential equation D0+αx(t)+f(t,x(t),D0+βx(t))+e(t)=0 ...
Kemei Zhang
doaj   +1 more source

Boundary-Value Problem for Nonlinear Fractional Differential Equations of Variable Order with Finite Delay via Kuratowski Measure of Noncompactness

Axioms, 2023
This paper is devoted to boundary-value problems for Riemann–Liouville-type fractional differential equations of variable order involving finite delays.
Benoumran Telli, Mohammed Said Souid, Ivanka Stamova   +2 more
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A Liouville Theorem for Stationary Incompressible Fluids of Von Mises Type [PDF]

Acta Mathematica Scientia, 2018
We consider entire solutions u of the equations describing the stationary flow of a generalized Newtonian fluid in 2D concentrating on the question, if a Liouville-type result holds in the sense that the boundedness of u implies its constancy. A positive
M. Fuchs, J. Müller
semanticscholar   +1 more source

Entire solutions and a Liouville theorem for a class of parabolic equations on the real line

, 2020
We consider a class of semilinear heat equations on R, including in particular the Fujita equation ut = uxx + |u|p−1u, x ∈ R, t ∈ R, where p > 1. We first give a simple proof and an extension of a Liouville theorem concerning entire solutions with finite
P. Polácik
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A Liouville theorem for stationary and ergodic ensembles of parabolic systems [PDF]

Probability theory and related fields, 2017
A first-order Liouville theorem is obtained for random ensembles of uniformly parabolic systems under the mere qualitative assumptions of stationarity and ergodicity.

semanticscholar   +1 more source