Results 51 to 60 of about 86 (78)

Liouvillian first integrals of differential equations

Banach Center Publications, 2011
In this paper we generalize to any dimension and codimension some theorems about existence of Liouvillian solutions or first integrals proved by M. Singer in Liouvillian first integrals of differential equations (1992) for first order differential equations.
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The Extended Monodromy Group and Liouvillian First Integrals

Journal of Dynamical and Control Systems, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Determining Liouvillian first integrals for dynamical systems in the plane and an integrability analysis

Computer Physics Communications, 2014
Here we deal with a semi-algorithm to find Liouvillian first integrals of dynamical systems in the plane. The algorithm is based on a Darboux-type procedure to find the integrating factor for the system. The particular form of such systems allows reducing them to a single rational first order ordinary differential equation (rational 1ODE).
J. Avellar, M.S. Cardoso, L.G.S. Duarte, L.A.C.P. da Mota   +3 more
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Analysing the structure of the integrating factors for first-order ordinary differential equations with Liouvillian functions in the solution

Journal of Physics A: Mathematical and General, 2002
Summary: Here, the authors demonstrate a theorem concerning the general structure of the integrating factor for first-order ordinary differential equations whose solutions contain Liouvillian functions. This result assures the generality of a method presented in a forthcoming paper of the authors [A method to tackle first-order ordinary differential ...
Duarte, L. G. S., Duarte, S. E. S., da Mota, L. A. C. P.   +2 more
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An efficient way to determine Liouvillian first integrals of rational second order ordinary differential equations

Computer Physics Communications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
L.G.S. Duarte, J.C. Eiras, L.A.C.P. da Mota   +2 more
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Liouvillian and Global Analytic First Integrals for Mathematical Model of Virus Therapy for Cancer

International Journal of Dynamical Systems and Differential Equations, 2023
Azad I. Amen, Wirya M. Ramadhan
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First-line nivolumab plus chemotherapy versus chemotherapy alone for advanced gastric, gastro-oesophageal junction, and oesophageal adenocarcinoma (CheckMate 649): a randomised, open-label, phase 3 trial

Lancet, The, 2021
Yelena Y Janjigian, Kohei Shitara, Markus Moehler   +2 more
exaly  

The first surgeon general's report on smoking and health: The 50th anniversary

Ca-A Cancer Journal for Clinicians, 2014
Fadlo R Khuri
exaly  

Erratum to ‘Holomorphic foliations with Liouvillian first integrals’ (Ergodic Theory and Dynamical Systems 21 (2001), 717–756)

Ergodic Theory and Dynamical Systems, 2003
C. CAMACHO, B. AZEVEDO SCÁRDUA
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QUADRATIC SYSTEMS WITH AN ALGEBRAIC LIMIT CYCLE OF DEGREE 2 OR 4 DO NOT HAVE A LIOUVILLIAN FIRST INTEGRAL

EQUADIFF 2003, 2005
J. CHAVARRIGA, H. GIACOMINI, M. GRAU
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