Multicomponent Burgers and KP hierarchies, and solutions from a matrix linear system.
Dimakis, Aristophanes, Müller-Hoissen, Folkert (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Dimakis, Aristophanes, Müller-Hoissen, Folkert (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Enrique Navarro, Rafael Company, Lucas Jódar (1993)
Applicationes Mathematicae
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In this paper we consider Bessel equations of the type , where A is an nn complex matrix and X(t) is an nm matrix for t > 0. Following the ideas of the scalar case we introduce the concept of a fundamental set of solutions for the above equation expressed in terms of the data dimension. This concept allows us to give an explicit closed form solution of initial and two-point boundary value problems related to the Bessel equation.
Milojica Jaćimović (2011)
The Teaching of Mathematics
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Gerdjikov, Vladimir S., Kostov, Nikolay A. (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Popoviciu, Ioan (2002)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Risteski, I.B., Covachev, V.C. (2006)
Acta Mathematica Universitatis Comenianae. New Series
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Neuwirth, Erich (2002)
Séminaire Lotharingien de Combinatoire [electronic only]
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Diamandescu, A. (2004)
Acta Mathematica Universitatis Comenianae. New Series
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John Ryan (1992)
Annales Polonici Mathematici
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Generalizations of the classical Schwarzian derivative of complex analysis have been proposed by Osgood and Stowe [12, 13], Carne [5], and Ahlfors [3]. We present another generalization of the Schwarzian derivative over vector spaces.
Minghua Lin, Harald K. Wimmer (2014)
Special Matrices
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Companion matrices of the second type are characterized by properties that involve bilinear maps.
Jean-Paul Allouche, Pierre Liardet (1991)
Acta Arithmetica
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José de Azcárraga, Francisco Rodenas (1997)
Banach Center Publications
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The differential calculus on 'non-standard' h-Minkowski spaces is given. In particular it is shown that, for them, it is possible to introduce coordinates and derivatives which are simultaneously hermitian.