Results 11 to 20 of about 629,413 (279)
Harnack inequality and Liouville-type theorems for Ornstein-Uhlenbeck and Kolmogorov operators
We prove, with a purely analytic technique, a one-side Liouville theorem for a class of Ornstein--Uhlenbeck operators ${\mathcal L_0}$ in $\mathbb{R}^N$, as a consequence of a Liouville theorem at “$t=- \infty$” for the corresponding Kolmogorov ...
Alessia E. Kogoj +2 more
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In this article, we consider the existence of solutions to the Sturm–Liouville differential equation with random impulses and boundary value problems.
Zihan Li, Xiao-Bao Shu, Tengyuan Miao
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In this paper, we study the existence of solutions for nonlocal single and multi-valued boundary value problems involving right-Caputo and left-Riemann–Liouville fractional derivatives of different orders and right-left Riemann–Liouville fractional ...
Ahmed Alsaedi +3 more
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In this article, we introduce and study a new class of hybrid fractional qq-integro-difference equations involving Riemann-Liouville qq-derivatives, supplemented with nonlocal boundary conditions containing Riemann-Liouville qq-integrals of different ...
Alsaedi Ahmed +3 more
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We deal with the following Sturm–Liouville boundary value problem: −Ptx′t′+Btxt=λ∇xVt,x, a.e. t∈0,1x0cos α−P0x′0sin α=0x1cos β−P1x′1sin β=0 Under the subquadratic condition at zero, we obtain the existence of two nontrivial solutions and infinitely ...
Dan Liu, Xuejun Zhang, Mingliang Song
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The Uniqueness Theorem for the Solutions of Dual Equations of Sturm-Liouville Problems with Singular Points and Turning Points [PDF]
In this paper, linear second-order differential equations of Sturm-Liouville type having a finite number of singularities and turning points in a finite interval are investigated.
Seyfollah Mosazadeh
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Linear and quadratic GUP, Liouville theorem, cosmological constant, and Brick Wall entropy [PDF]
Motivated by the works on equivalence principle in the context of linear generalized uncertainty principle and, independently, in the context of quadratic generalized uncertainty principle, we expand these endeavors in the context of generalized ...
E. Vagenas +3 more
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Some Results in the Theory of Fractional Order Integro-Differential Equation with Boundary Conditions [PDF]
This paper deals with the existence and uniqueness of the solution for a boundary value problem of fractional order integro-differential equation, when using Banach fixed point theorem and Shafer’s fixed point theorem.
Azzam Younes
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A Liouville theorem for Axi-symmetric Navier–Stokes equations on $${\mathbb {R}}^2 \times {\mathbb {T}}^1$$ [PDF]
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
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A Liouville Theorem for the Euler Equations in the Plane [PDF]
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
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