Results 71 to 80 of about 51,027 (249)

Harmonic Liouville Theorem for Exterior Domains

Journal of Mathematical Analysis and Applications, 2001
The authors have represented the simple function theoretic proof of a Liouville type theorem for harmonic functions in \(\mathbb{C}\). Moreover this variant of the theorem sligthly generalizes the theorem that has been obtained by F. Cammaroto and A. Chinni.
Nakai, Mitsuru, Tada, Toshimasa
openaire   +1 more source

On qualitative analysis of an ecological dynamics with time delay

Asian Journal of Control, Volume 28, Issue 1, Page 46-56, January 2026.
Abstract In this paper, we study a fractional‐order predator–prey system with time delay, where the dynamics are logistic with prey population commensurate to the carrying capacity. Mainly, by linearizing the system around the equilibrium point, we first analyze the stability and then prove the existence of Hopf bifurcation.
Canan Celik, Kubra Degerli
wiley   +1 more source

Approximate Controllability for Impulsive Riemann-Liouville Fractional Differential Inclusions

Abstract and Applied Analysis, 2013
We study the control systems governed by impulsive Riemann-Liouville fractional differential inclusions and their approximate controllability in Banach space.
Zhenhai Liu, Maojun Bin
doaj   +1 more source

Interval‐valued Caputo–Fabrizio fractional derivative in continuous programming

Asian Journal of Control, Volume 28, Issue 1, Page 497-514, January 2026.
Abstract This study investigates a novel class of variational programming problems characterized by fractional interval values, formulated under the Caputo–Fabrizio fractional derivative with an exponential kernel. Invex and generalized invex functions are used to discuss the Mond–Weir‐type dual problem for the considered variational problem.
Krishna Kummari, Vivekananda Rayanki, Izhar Ahmad   +2 more
wiley   +1 more source

Linearized asymptotic stability for nabla Riemann-Liouville fractional difference equation [PDF]

Archives of Control Sciences
In this paper,we present a theorem about stability of nonlinear fractional difference equation with Riemann-Liouvile difference operator. The result is a version of classical theorem on linear approximation and to derive them,we prove the variation of ...
Pham The Anh, Adam Czornik, Michał Niezabitowski   +2 more
doaj   +1 more source

Temporal pulse shaping aspects of refractive X‐ray lenses

Journal of Synchrotron Radiation, Volume 33, Issue 1, Page 52-62, January 2026.
This work investigates the temporal effects of refractive X‐ray lenses on ultra‐short pulses from X‐ray free‐electron lasers. Using both a full Fresnel theory model and a simplified ray‐tracing approach, the paper analyzes the pulse elongation and spatio‐temporal distortions introduced by these focusing optics.Refractive X‐ray lenses are frequently ...
Fabian Trost, Johan Bielecki, Richard Bean   +2 more
wiley   +1 more source

Existence Results for the Distributed Order Fractional Hybrid Differential Equations

Abstract and Applied Analysis, 2012
We introduce the distributed order fractional hybrid differential equations (DOFHDEs) involving the Riemann-Liouville differential operator of order ...
Hossein Noroozi, Alireza Ansari, Mohammad Shafi Dahaghin   +2 more
doaj   +1 more source

THE FALLACY OF «LIOUVILLE'S THEOREM» AND PREDICTABLE ATMOSPHERE AND CLIMATE

InterCarto. InterGIS, 2016
The paper substantiates the fallacy of «Liouville theorem» and, accordingly, the inability to be based on its prediction of the behavior of the atmosphere and climate.
V. S. Datsko
doaj   +1 more source

On contact 3‐manifolds that admit a nonfree toric action

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We classify all contact structures on 3‐manifolds that admit a nonfree toric action, up to contactomorphism, and present them through explicit topological descriptions. Our classification is based on Lerman's classification of toric contact 3‐manifolds up to equivariant contactomorphism [Lerman, J. Symplectic Geom. 1 (2003), 785–828].
Aleksandra Marinković, Laura Starkston
wiley   +1 more source

Extensions of Liouville theorems

Journal of Mathematical Analysis and Applications, 1982
AbstractThe method of deriving Liouville's theorem for subharmonic functions in the plane from the corresponding Hadamard three-circles theorem is extended to a more general and abstract setting. Two extensions of Liouville's theorem for vector-valued holomorphic functions of several complex variables are also mentioned.
openaire   +2 more sources