On smoothing conditions of multivariate splines.
Jerzy Stankiewicz (1997)
Collectanea Mathematica
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Jerzy Stankiewicz (1997)
Collectanea Mathematica
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Jyoichi Kaneko (1996)
Annales scientifiques de l'École Normale Supérieure
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Roselle, D.P. (1966)
Portugaliae mathematica
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H. G. Meijer, H. Niederreiter (1972)
Compositio Mathematica
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Frank Mantlik (1991)
Studia Mathematica
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Trenčevski, K. (1995)
Serdica Mathematical Journal
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In this paper are examined some classes of linear and non-linear analytical systems of partial differential equations. Compatibility conditions are found and if they are satisfied, the solutions are given as functional series in a neighborhood of a given point (x = 0).
Alberto Bressan (1993)
Studia Mathematica
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Munot, P.C. (1972)
Portugaliae mathematica
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Ramón Gutiérrez Jáimez, Miguel Angel Fajardo Caldera (1988)
Trabajos de Estadística
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Conditions under which the solutions of a partial difference equations system can be probability functions are examined. When the coefficients of the system are polynomials then the partial difference equations system satisfied by generating functions associated to these distributions are easily obtained; they give useful recurrence relations for the moments. Three examples are given as well.