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A fractional order model for the transmission dynamics of shigellosis. [PDF]
HeliyonEdward S.
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Efficient results on fractional Langevin-Sturm-Liouville problem via generalized Caputo-Atangana-Baleanu derivatives. [PDF]
PLoS OneThabet STM +4 more
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Fractional-order mathematical model for Monkeypox transmission dynamics using the Atangana-Baleanu Caputo operator. [PDF]
BMC Infect DisAgbata BC +7 more
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Exploring syphilis transmission dynamics with congenital infection and disability compartments. [PDF]
Sci RepZarin R +4 more
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Liouville’s Theorem for the Drifting Laplacian
Bulletin of the Malaysian Mathematical Sciences Society, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fan Chen, Qihua Ruan, Weihua Wang
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1998
Abstract This result has a long history. For diffeomorphisms of class C in ℝ Liouville established the result in 1850 [204] along the lines we discussed in the chapter on conformal geometry. The relaxation of the differentiability hypotheses and the local injectivity assumptions are significant steps since the aim is to describe the ...
Tadeusz Iwaniec, Gaven Martin
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Abstract This result has a long history. For diffeomorphisms of class C in ℝ Liouville established the result in 1850 [204] along the lines we discussed in the chapter on conformal geometry. The relaxation of the differentiability hypotheses and the local injectivity assumptions are significant steps since the aim is to describe the ...
Tadeusz Iwaniec, Gaven Martin
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An extension of liouville's theorem
1979I . Motivation, Computing integrals h0s been a favorite pastime of algebraic manipulators (bol, h human and machine) for some time. The usual problem is to determine if the integral of a function can be expressed in terms of some prespecitled set of functions.
Joel Moses, Richard Zippel
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2014
A complex number α is said to be an algebraic number if there is a non-zero polynomial \(f(x) \in \mathbb{Q}[x]\) such that f(α) = 0. Given an algebraic number α, there exists a unique irreducible monic polynomial \(P(x) \in \mathbb{Q}[x]\) such that P(α) = 0. This is called the minimal polynomial of α.
M. Ram Murty, Purusottam Rath
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A complex number α is said to be an algebraic number if there is a non-zero polynomial \(f(x) \in \mathbb{Q}[x]\) such that f(α) = 0. Given an algebraic number α, there exists a unique irreducible monic polynomial \(P(x) \in \mathbb{Q}[x]\) such that P(α) = 0. This is called the minimal polynomial of α.
M. Ram Murty, Purusottam Rath
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A generalization of the Liouville–Arnol'd theorem
Mathematical Proceedings of the Cambridge Philosophical Society, 1995AbstractWe show that the Liouville-Arnol'd theorem concerning knowledge of involutory first integrals for Hamiltonian systems is available for any system of second order ordinary differential equations. In establishing this result we also provide a new proof of the standard theorem in the setting of non-autonomous, regular Lagrangian mechanics on the ...
Prince, G. E. +3 more
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