Displaying similar documents to “Poincaré theorem and nonlinear PDE's”

The Laplace transform on a Boehmian space

V. Karunakaran, C. Prasanna Devi (2010)

Annales Polonici Mathematici

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In the literature a Boehmian space containing all right-sided Laplace transformable distributions is defined and studied. Besides obtaining basic properties of this Laplace transform, an inversion formula is also obtained. In this paper we shall improve upon two theorems one of which relates to the continuity of this Laplace transform and the other is concerned with the inversion formula.

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Kokila Sundaram (1983)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

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Borel resummation of formal solutions to nonlinear Laplace equations in 2 variables

Maria Ewa Pliś, Bogdan Ziemian (1997)

Annales Polonici Mathematici

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We consider a nonlinear Laplace equation Δu = f(x,u) in two variables. Following the methods of B. Braaksma [Br] and J. Ecalle used for some nonlinear ordinary differential equations we construct first a formal power series solution and then we prove the convergence of the series in the same class as the function f in x.

Laplace-Stieltjes transform of the system mean lifetime via geometric process model

Gökhan Gökdere, Mehmet Gürcan (2016)

Open Mathematics

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Operation principle of the engineering systems occupies an important role in the reliability theory. In most of the studies, the reliability function of the system is obtained analytically according to the structure of the system. Also in such studies the mean operating time of the system is calculated. However, the reliability function of some systems, such as repairable system, cannot be easily obtained analytically. In this case, forming Laplace-Stieltjes transform of the system can...