Results 21 to 30 of about 629,413 (279)

Entire solutions and a Liouville theorem for a class of parabolic equations on the real line

, 2020
We consider a class of semilinear heat equations on R, including in particular the Fujita equation ut = uxx + |u|p−1u, x ∈ R, t ∈ R, where p > 1. We first give a simple proof and an extension of a Liouville theorem concerning entire solutions with finite
P. Polácik
semanticscholar   +1 more source

A Liouville theorem for stationary and ergodic ensembles of parabolic systems [PDF]

Probability theory and related fields, 2017
A first-order Liouville theorem is obtained for random ensembles of uniformly parabolic systems under the mere qualitative assumptions of stationarity and ergodicity.

semanticscholar   +1 more source

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

Revisiting Taibleson's theorem

Electronic Research Archive, 2022
A new characterization of the weighted Taibleson's theorem for generalized Hölder spaces is given via a Hadamard-Liouville type operator (Djrbashian's generalized fractional operator).
Humberto Rafeiro, Joel E. Restrepo
doaj   +1 more source

A proof of Liouville’s theorem [PDF]

Proceedings of the American Mathematical Society, 1961
1. S. Bochner, Group invariance of Cauchy's formula in several variables, Ann. of Math. vol. 45 (1944) pp. 686-707. 2. E. Heinz, Ein v. Neumannscher Satz iuber beschriinkte Operatoren im Hilbertschen Raum, Nachr. Akad. Wiss. Gottingen. Math.-Phys. Kl. Ila. (1952) pp. 5-6. 3. J.
openaire   +1 more source

Positive Solutions for a Higher-Order Semipositone Nonlocal Fractional Differential Equation with Singularities on Both Time and Space Variable

Journal of Function Spaces, 2019
In this paper, we consider the following higher-order semipositone nonlocal Riemann-Liouville fractional differential equation D0+αx(t)+f(t,x(t),D0+βx(t))+e(t)=0 ...
Kemei Zhang
doaj   +1 more source

A Liouville theorem for the higher-order fractional Laplacian [PDF]

Communications in Contemporary Mathematics, 2016
We study Navier problems involving the higher-order fractional Laplacians. We first obtain nonexistence of positive solutions, known as the Liouville-type theorems, in the upper half-space [Formula: see text] by studying an equivalent integral form of ...
Ran Zhuo, Yan Li
semanticscholar   +1 more source

Boundary-Value Problem for Nonlinear Fractional Differential Equations of Variable Order with Finite Delay via Kuratowski Measure of Noncompactness

Axioms, 2023
This paper is devoted to boundary-value problems for Riemann–Liouville-type fractional differential equations of variable order involving finite delays.
Benoumran Telli, Mohammed Said Souid, Ivanka Stamova   +2 more
doaj   +1 more source

Dissipative Sturm-Liouville Operators with Transmission Conditions

Abstract and Applied Analysis, 2013
In this paper we study dissipative Sturm-Liouville operators with transmission conditions. By using Pavlov’s method (Pavlov 1947, Pavlov 1981, Pavlov 1975, and Pavlov 1977), we proved a theorem on completeness of the system of eigenvectors and associated
Hüseyin Tuna, Aytekin Eryılmaz
doaj   +1 more source

A mean value formula and a Liouville theorem for the complex Monge-Amp\`ere equation [PDF]

, 2017
In this paper, we prove a mean value formula for bounded subharmonic Hermitian matrix valued function on a complete Riemannian manifold with nonnegative Ricci curvature.
Chao Li, Jiayu Li, Xi Zhang
semanticscholar   +1 more source