Results 21 to 30 of about 479,708 (268)
A Survey on the Inverse Integrating Factor [PDF]
Qualitative Theory of Dynamical Systems, 2010 The relation between limit cycles of planar differential systems and the inverse integrating factor was first shown in an article of Giacomini, Llibre and Viano appeared in 1996. From that moment on, many research articles are devoted to the study of the properties of the inverse integrating factor and its relation with limit cycles and their ...
García, I. A. (Isaac A.) +1 more
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Darboux integrability and the inverse integrating factor
Journal of Differential Equations, 2003 Consider planar (real or complex) polynomial vector fields \(X=P(x,y)\partial_x+Q(x,y)\partial_y\) having a Darboux first integral of the form \[ H= f_1^{\lambda_1}\cdots f_p^{\lambda_p} \left( \exp\left( {h_1}\over {g_1} \right) \right)^{\mu_1} \cdots \left( \exp\left({h_q}\over{g_q} \right) \right)^{\mu_q}, \] where \(f_i, g_i\) and \(h_i\) are ...
Chavarriga, Javier +3 more
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Mathematica Bohemica, 1994 Summary: The problem of integrating factor for ordinary differential equations is investigated. Conditions are given which guarantee that each solution of \(\partial_ 1 F(x,y) + y'\partial_ 2 F(x,y) = 0\) is also a solution of \(M(x,y)+ y' N(x, y)= 0\) where \(\partial_ 1 F= \mu M\) and \(\partial_ 2 F= \mu N\).
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Analytic Methods for Solving Higher Order Ordinary Differential Equations
Mathematics, 2019 In this work, an analytic approach for solving higher order ordinary differential equations (ODEs) is developed. The techniques offer analytic flexibility in many research areas such as physics, engineering, and applied sciences and are effective for ...
Maria P. Beccar-Varela +3 more
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The Social Justice as Factor, Integrating Migrants into Local Community
Социологическая наука и социальная практика, 2016 Not only has social justice retained its relevance in the eyes of modern Russians, but it has also become one of their key personal values. The general notion of social justice creates a feeling of solidarity in the community, while also fostering an ...
Pavel V. Fadeev
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The Poincaré map of degenerate monodromic singularities with Puiseux inverse integrating factor
Advances in Nonlinear Analysis, 2023 We consider analytic families of planar vector fields depending analytically on the parameters in Λ\Lambda that guarantee the existence of a (may be degenerate and with characteristic directions) monodromic singularity.
García Isaac A., Giné Jaume
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On the Integrability of Quasihomogeneous Systems and Quasidegenerate Infinity Systems
Advances in Difference Equations, 2007 The integrability of quasihomogeneous systems is considered, and the properties of the first integrals and the inverse integrating factors of such systems are shown.
Hu Yanxia
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Factorization of Period Integrals
Journal of Number Theory, 2001 Let \(E/F\) be a quadratic extension of number fields such that all real places of \(F\) split in \(E\). Let \(\pi\) be an irreducible cuspidal automorphic representation of \(G = \text{GL}(3,E_{\mathbb A})\) which is distinguished with respect to \(H = \text{U}(3)\), i.e. the period integral on \(\pi\) relative to \(H\) is not identically zero.
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Factoring multivariate integral polynomials [PDF]
Theoretical Computer Science, 1984 AbstractWe present an algorithm to factorize polynomials in several variables with integral coefficients that is polynomial-time in the degrees of the polynomial to be factored, for any fixed number of variables. Our algorithm generalizes the algorithm presented by Lenstra, Lenstra Jr. and Lovász (1982) to factorize integral polynomials in one variable.
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Integrative factorization of bidimensionally linked matrices [PDF]
Biometrics, 2019 AbstractAdvances in molecular “omics” technologies have motivated new methodologies for the integration of multiple sources of high‐content biomedical data. However, most statistical methods for integrating multiple data matrices only consider data shared vertically (one cohort on multiple platforms) or horizontally (different cohorts on a single ...
Jun Young Park, Eric F. Lock
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