Results 91 to 100 of about 654,091 (289)
A Liouville theorem for Lévy generators [PDF]
Positivity, 2020 AbstractUnder mild assumptions, we establish a Liouville theorem for the “Laplace” equation $$Au=0$$ A u = 0 associated with the infinitesimal generator A of a Lévy process: If u is a weak solution to $$Au=0$$
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No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system
Asian Journal of Control, Volume 28, Issue 1, Page 312-324, January 2026.Abstract This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave‐like phenomena and complexity, become even more challenging with weak coupling between subsystems.
Meriem Louafi +3 more
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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
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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
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Liouville theorems for fractional Hénon equation and system on $\mathbb{R}^n$
, 2015 In this paper, we establish some Liouville type theorems for positive solutions of fractional Henon equation and system in $\mathbb{R}^n$. First, under some regularity conditions, we show that the above equation and system are equivalent to the some ...
Jingbo Dou, Huaiyu Zhou
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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 +2 more
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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 +2 more
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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
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Hardy-Littlewood-Sobolev systems and related Liouville theorems
, 2014 We prove some Liouville theorems for systems of integral equations and inequalities related to weighted Hardy-Littlewood-Sobolev inequality type on $R^N$ .
L. D’Ambrosio, E. Mitidieri
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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.
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