Results 11 to 20 of about 629,413 (279)

Harnack inequality and Liouville-type theorems for Ornstein-Uhlenbeck and Kolmogorov operators

open access: yesMathematics in Engineering, 2020
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
doaj   +1 more source

The existence of solutions for Sturm–Liouville differential equation with random impulses and boundary value problems

open access: yesBoundary Value Problems, 2021
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
doaj   +1 more source

Nonlocal Fractional Boundary Value Problems Involving Mixed Right and Left Fractional Derivatives and Integrals

open access: yesAxioms, 2020
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
doaj   +1 more source

Investigation of hybrid fractional q-integro-difference equations supplemented with nonlocal q-integral boundary conditions

open access: yesDemonstratio Mathematica, 2023
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
doaj   +1 more source

Multiple Solutions for Second-Order Sturm–Liouville Boundary Value Problems with Subquadratic Potentials at Zero

open access: yesJournal of Mathematics, 2021
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
doaj   +1 more source

The Uniqueness Theorem for the Solutions of Dual Equations of Sturm-Liouville Problems with Singular Points and Turning Points [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2019
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
doaj   +1 more source

Linear and quadratic GUP, Liouville theorem, cosmological constant, and Brick Wall entropy [PDF]

open access: yesThe European Physical Journal C, 2019
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
semanticscholar   +1 more source

Some Results in the Theory of Fractional Order Integro-Differential Equation with Boundary Conditions [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2010
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
doaj   +1 more source

A Liouville theorem for Axi-symmetric Navier–Stokes equations on $${\mathbb {R}}^2 \times {\mathbb {T}}^1$$ [PDF]

open access: yesMathematische 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 Liouville Theorem for the Euler Equations in the Plane [PDF]

open access: yesArchive 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

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