Multidimensional two-particles problem with non-central potential
D. V. Choodnovsky, G. V. Choodnovsky (1977-1978)
Séminaire sur les équations non linéaires (Choodnovsky)
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Displaying similar documents to “Non-existence criteria for Laurent polynomial first integrals.”
Multidimensional two-particles problem with non-central potential
A note on definite integrals involving the derivatives of hypergeometric polynomials
Jyoti Chaudhuri (1962)
Rendiconti del Seminario Matematico della Università di Padova
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Existence of Polynomial Solutions of a Class of Riccati-Type Differential Equations.
H. Kaufman, Mira Bhargava (1965)
Collectanea Mathematica
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Criterion on L-boundedness for a class of oscillatory singular integrals with rough kernels.
Shan Zhen Lu, Yan Zhang (1992)
Revista Matemática Iberoamericana
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On first integrals for polynomial differential equations on the line
Henryk Żołądek (1993)
Studia Mathematica
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We show that any equation dy/dx = P(x,y) with P a polynomial has a global (on ℝ²) smooth first integral nonconstant on any open domain. We also present an example of an equation without an analytic primitive first integral.
Degrees of Polynomial Solutions of a Class of Riccati - tipe Differential Equations*.
Mira Bhargava (1964)
Collectanea Mathematica
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Commutators and linearizations of isochronous centers
Luisa Mazzi, Marco Sabatini (2000)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We study isochronous centers of some classes of plane differential systems. We consider systems with constant angular speed, both with homogeneous and nonhomogenous nonlinearities. We show how to construct linearizations and first integrals of such systems, if a commutator is known. Commutators are found for some classes of systems. The results obtained are used to prove the isochronicity of some classes of centers, and to find first integrals for a class of Liénard equations with isochronous...
Restricted partitions.
Jakimczuk, Rafael (2004)
International Journal of Mathematics and Mathematical Sciences
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Non-complete integrability of a satellite in circular orbit.
Boucher, Delphine (2006)
Portugaliae Mathematica. Nova Série
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A finite-dimensional integrable system associated with a polynomial eigenvalue problem.
Xu, Taixi, Mu, Weihua, Qiao, Zhijun (2006)
International Journal of Mathematics and Mathematical Sciences
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