Results 21 to 30 of about 29,180 (228)

SOME REMARKS ON LIOUVILLE TYPE THEOREMS [PDF]

Recent Advances in Nonlinear Analysis, 2008
The goal of this note is to present elementary proofs of statements related to the Liouville theorem.
Brezis, H, Chipot, M, Xie, Y
openaire   +3 more sources

A Liouville theorem for a class of reaction–diffusion systems with fractional diffusion

, 2023
We prove a Liouville theorem on the positive bounded entire solution of a class of reaction–diffusion systems with fractional diffusion.
Guo, Jong-Shenq;Shimojo, Masahiko
core   +1 more source

Existence, stability and global attractivity results for nonlinear Riemann-Liouville fractional differential equations

Cubo, 2023
Existence, attractivity, and stability of solutions of a non-linear fractional differential equation of Riemann-Liouville type are proved using the classical Schauder fixed point theorem and a fixed point result due to Dhage.
Bapurao C. Dhage, John R. Graef, Shyam B. Dhage   +2 more
doaj   +1 more source

Cut loci and conjugate loci on Liouville surfaces [PDF]

, 2011
In the earlier paper (Itoh and Kiyohara, Manuscr Math 114:247–264, 2004), we showed that the cut locus of a general point on two-dimensional ellipsoid is a segment of a curvature line and proved "Jacobi’s last geometric statement" on the singularities of
Jin-ichi Itoh, Kazuyoshi Kiyohara, Kiyohara, Kazuyoshi, Itoh, Jin-ichi   +3 more
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Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations [PDF]

, 2022
In this article, we first prove some sufficient conditions guaranteeing the existence of invariant sample measures for random dynamical systems via the approach of global random attractors.
Wang, Jintao, Caraballo Garrido, Tomás, Zhao, Caidi   +2 more
core   +1 more source

On Cauchy–Liouville-type theorems

Advances in Nonlinear Analysis, 2017
Abstract In this paper we explore Liouville-type theorems to solutions of PDEs involving the ϕ-Laplace operator in the setting of Orlicz–Sobolev spaces. Our results extend Liouville-type theorems that have been obtained recently.
Araya Ataklti, Mohammed Ahmed
openaire   +2 more sources

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
doaj   +1 more source

Existence Results for Sequential Riemann–Liouville and Caputo Fractional Differential Inclusions with Generalized Fractional Integral Conditions

Mathematics, 2020
Under different criteria, we prove the existence of solutions for sequential fractional differential inclusions containing Riemann–Liouville and Caputo type derivatives and supplemented with generalized fractional integral boundary conditions.
Jessada Tariboon, Sotiris K. Ntouyas, Bashir Ahmad, Ahmed Alsaedi   +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

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