Results 11 to 20 of about 695,650 (225)

A C^1 Arnol'd-Liouville theorem [PDF]

open access: yesAstérisque, 2016
In this paper, we prove a version of Arnol'd-Liouville theorem for C 1 commuting Hamiltonians. We show that the Lipschitz regularity of the foliation by invariant Lagrangian tori is crucial to determine the Dynamics on each Lagrangian torus and that the ...
M. Arnaud, Jinxin Xue
semanticscholar   +4 more sources

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

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

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

Sharp Liouville Theorems [PDF]

open access: yesAdvanced Nonlinear Studies, 2020
Abstract Consider the equation div ⁡ (
openaire   +4 more sources

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

The Liouville theorem and linear operators satisfying the maximum principle [PDF]

open access: yes, 2019
A result by Courrege says that linear translation invariant operators satisfy the maximum principle if and only if they are of the form $\mathcal{L}=\mathcal{L}^{\sigma,b}+\mathcal{L}^\mu$ where $$ \mathcal{L}^{\sigma,b}[u](x)=\text{tr}(\sigma \sigma ...
Nathael Alibaud   +3 more
semanticscholar   +1 more source

Liouville theorem of axially symmetric Navier–Stokes equations with growing velocity at infinity [PDF]

open access: yesNonlinear Analysis: Real world applications, 2019
In the paper \cite{KNSS:1}, the authors make the following conjecture: {\it any bounded ancient mild solution of the 3D axially symmetric Navier-Stokes equations is constant.} And it is proved in the case that the solution is swirl free.
Xinghong Pan, Zijin Li
semanticscholar   +1 more source

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