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Displaying similar documents to “Borel resummation of formal solutions to nonlinear Laplace equations in 2 variables”

Poincaré theorem and nonlinear PDE's

Maria E. Pliś (1998)

Annales Polonici Mathematici

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A family of formal solutions of some type of nonlinear partial differential equations is found. Terms of such solutions are Laplace transforms of some Laplace distributions. The series of these distributions are locally finite.

The Laplace transform on a Boehmian space

V. Karunakaran, C. Prasanna Devi (2010)

Annales Polonici Mathematici

Similarity:

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.

Laplace Adomian decomposition method for solving a fish farm model

M. Sambath, K. Balachandran (2016)

Nonautonomous Dynamical Systems

Similarity:

In this work, a combined form of the Laplace transform method and the Adomian decomposition method is implemented to give an approximate solution of nonlinear systems of differential equations such as fish farm model with three components nutrient, fish and mussel. The technique is described and illustrated with a numerical example.