Results 11 to 20 of about 1,067 (186)

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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Existence results for a coupled system of Caputo type fractional integro-differential equations with multi-point and sub-strip boundary conditions

Advances in Difference Equations, 2021
This paper is concerned with the existence and uniqueness of solutions for a coupled system of Liouville–Caputo type fractional integro-differential equations with multi-point and sub-strip boundary conditions.
Ahmed Alsaedi, Amjad F. Albideewi, Sotiris K. Ntouyas, Bashir Ahmad   +3 more
doaj   +1 more source

A new kind of uniqueness theorems for inverse Sturm-Liouville problems

Boundary Value Problems, 2017
We prove Marchenko-type uniqueness theorems for inverse Sturm-Liouville problems. Moreover, we prove a generalization of Ambarzumyan’s theorem.
Yuri Ashrafyan
doaj   +1 more source

On the existence and uniqueness of a positive solution to a boundary-value problem of the Sturm-Liouville type for a nonlinear ordinary differential equation

Современная математика: Фундаментальные направления, 2023
Using the fixed point theorem in partially ordered sets, we obtain sufficient conditions for the existence of a unique positive solution to a boundary-value problem of the Sturm-Liouville type for a nonlinear ordinary differential equation, and give an ...
G. E. Abduragimov, P. E. Abduragimova, M. M. Kuramagomedova   +2 more
doaj   +1 more source

A Liouville-Type Theorem for Elliptic Systems [PDF]

, 1994
The authors consider the system \(- \triangle u = v^ \alpha\), \(- \triangle v = u^ \beta\) in the whole of \(\mathbb{R}^ N\), \(N \geq 3\). The question is to determine for which values of the exponents \(\alpha\) and \(\beta\) the only nonnegative solution \((u,v)\) is the trivial one.
de Figueiredo, D. G., Felmer, P. L.
openaire   +2 more sources

Liouville-type theorem for Kirchhoff equations involving Grushin operators

Boundary Value Problems, 2020
The aim of this paper is to prove the Liouville-type theorem of the following weighted Kirchhoff equations: 0.1 − M ( ∫ R N ω ( z ) | ∇ G u | 2 d z ) div G ( ω ( z ) ∇ G u ) = f ( z ) e u , z = ( x , y ) ∈ R N = R N 1 × R N 2 $$\begin{aligned} \begin ...
Yunfeng Wei, Caisheng Chen, Hongwei Yang
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A Liouville-type Theorem for Schrödinger Operators [PDF]

Communications in Mathematical Physics, 2007
14 pages, the main result was improved, and a few more applications were ...
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Remarks on a Liouville-Type Theorem for Beltrami Flows [PDF]

International Mathematics Research Notices, 2014
We present a simple, short and elementary proof that if $v$ is a Beltrami flow with a finite energy in $\mathbb R^3$ then $v=0$. In the case of the Beltrami flows satisfying $v\in L^\infty _{loc} (\Bbb R^3) \cap L^q(\Bbb R^3)$ with $q\in [2, 3)$, or $|v(x)|=O(1/|x|^{1+\varepsilon})$ for some $\varepsilon >0$, we provide a different, simple proof ...
Chae, Dongho, Constantin, Peter
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Liouville-type theorems for the Navier–Stokes equations [PDF]

Russian Mathematical Surveys, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Seregin, G. A., Shilkin, T. N.
openaire   +2 more sources

A Liouville type theorem for the Schrödinger operator [PDF]

Proceedings of the American Mathematical Society, 1999
In this paper we prove that the equation Δ u (
openaire   +3 more sources