Cauchy's problem for systems of linear differential equations with distributional coefficients
J. Ligęza (1975)
Colloquium Mathematicae
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J. Ligęza (1975)
Colloquium Mathematicae
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Berrone, Lucio R. (2005)
International Journal of Mathematics and Mathematical Sciences
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Marija Skendžić (1970)
Publications de l'Institut Mathématique
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Raetz, Juerg (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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Henryk Kołakowski, Jarosław Łazuka (2008)
Applicationes Mathematicae
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The aim of this paper is to derive a formula for the solution to the Cauchy problem for the linear system of partial differential equations describing nonsimple thermoelasticity. Some properties of the solution are also presented. It is a first step to study the nonlinear case.
Jan Persson (1976)
Publications mathématiques et informatique de Rennes
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Kent, Darrell C. (1984)
International Journal of Mathematics and Mathematical Sciences
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Carles M. Cuadras (2002)
Qüestiió
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Advanced calculus is necessary to prove rigorously the main properties of the Cauchy distribution. It is well known that the Cauchy distribution can be generated by a tangent transformation of the uniform distribution. By interpreting this transformation on a circle, it is possible to present elementary and intuitive proofs of some important and useful properties of the distribution.
Mozgawa, Witold (2009)
Beiträge zur Algebra und Geometrie
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Jacek Wesołowski (1996)
Applicationes Mathematicae
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An example of a normal nonlinear continuous function of a normal random variable is given. Also the Cauchy case is considered.
M. Stojanović (1974)
Matematički Vesnik
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Fric, R., Kent, Darrell C. (1981)
International Journal of Mathematics and Mathematical Sciences
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Sova, M.
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