Integrable systems via inverse integrating factor.
J. Chavarriga, J. Giné (1998)
Extracta Mathematicae
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J. Chavarriga, J. Giné (1998)
Extracta Mathematicae
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Javier Chavarriga (1995)
Applicationes Mathematicae
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We study the integrability of two-dimensional autonomous systems in the plane of the form , , where Xs(x,y) and Ys(x,y) are homogeneous polynomials of degree s with s≥2. First, we give a method for finding polynomial particular solutions and next we characterize a class of integrable systems which have a null divergence factor given by a quadratic polynomial in the variable with coefficients being functions of tan−1(y/x).
Magdalena Walias-Cuadrado (1984)
Studia Mathematica
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Peter Sjögren, Fernando Soria (1997)
Revista Matemática Iberoamericana
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Let Ω be homogeneous of degree 0 in R and integrable on the unit sphere. A rough maximal operator is obtained by inserting a factor Ω in the definition of the ordinary maximal function. Rough singular integral operators are given by principal value kernels Ω(y) / |y|, provided that the mean value of Ω vanishes. In an earlier paper, the authors showed that a two-dimensional rough maximal operator is of weak type (1,1) when restricted to radial functions. This result is now extended to...
Ranjit Kumar Chakraborty (1982)
Aplikace matematiky
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The existence of a solution of the two - dimensional heat conduction equation in a semi-infinite strip, under mixed boundary condition, is discussed.
Antonio G. García, Miguel A. Hernández Medina (2000)
Extracta Mathematicae
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P. Erdös (1960)
Colloquium Mathematicae
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N. A. Chernikov, E. A. Tagirov (1968)
Annales de l'I.H.P. Physique théorique
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