Results 1 to 10 of about 882,396 (145)

The formal Laplace-Borel transform of Fliess operators and the composition product [PDF]

International Journal of Mathematics and Mathematical Sciences, 2006
The formal Laplace-Borel transform of an analytic integral operator, known as a Fliess operator, is defined and developed. Then, in conjunction with the composition product over formal power series, the formal Laplace-Borel transform is shown to provide ...
Yaqin Li, W. Steven Gray
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Aplicación del método de resumación de Borel en la ecuación diferencial de Euler [PDF]

Revista Bases de la Ciencia, 2020
  El propósito de este artículo es mostrar que a partir de la series divergentes se puede obtener información relevante que permite resolver algunos problemas, para lograr este cometido, inicialmente se hace una breve introducción a la teoría resurgente
Oswaldo José Larreal Barreto
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Asymptotics of Solutions of Linear Differential Equations with Holomorphic Coefficients in the Neighborhood of an Infinitely Distant Point

Mathematics, 2020
This study is devoted to the description of the asymptotic expansions of solutions of linear ordinary differential equations with holomorphic coefficients in the neighborhood of an infinitely distant singular point.
Maria Korovina
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Boundary layer expansions for initial value problems with two complex time variables

Advances in Difference Equations, 2020
We study a family of partial differential equations in the complex domain, under the action of a complex perturbation parameter ϵ. We construct inner and outer solutions of the problem and relate them to asymptotic representations via Gevrey asymptotic ...
A. Lastra, S. Malek
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Parametric Gevrey asymptotics in two complex time variables through truncated Laplace transforms

Advances in Difference Equations, 2020
This work is devoted to the study of a family of linear initial value problems of partial differential equations in the complex domain, dealing with two complex time variables. The use of a truncated Laplace-like transformation in the construction of the
G. Chen, A. Lastra, S. Malek
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On Inner Expansions for a Singularly Perturbed Cauchy Problem with Confluent Fuchsian Singularities

Mathematics, 2020
A nonlinear singularly perturbed Cauchy problem with confluent Fuchsian singularities is examined. This problem involves coefficients with polynomial dependence in time.
Stephane Malek
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On Boundary Layer Expansions for a Singularly Perturbed Problem with Confluent Fuchsian Singularities

Mathematics, 2020
We consider a family of nonlinear singularly perturbed PDEs whose coefficients involve a logarithmic dependence in time with confluent Fuchsian singularities that unfold an irregular singularity at the origin and rely on a single perturbation parameter ...
Stephane Malek
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On a Problem Arising in Application of the Re-Quantization Method to Construct Asymptotics of Solutions to Linear Differential Equations with Holomorphic Coefficients at Infinity

Mathematical and Computational Applications, 2019
The re-quantization method—one of the resurgent analysis methods of current importance—is developed in this study. It is widely used in the analytical theory of linear differential equations.
Maria Korovina, Ilya Smirnov, Vladimir Smirnov   +2 more
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On parametric Gevrey asymptotics for initial value problems with infinite order irregular singularity and linear fractional transforms

Advances in Difference Equations, 2018
This paper is a continuation of the work (Lastra and Malek in J. Differ. Equ. 259(10):5220–5270, 2015) where singularly perturbed nonlinear PDEs have been studied from an asymptotic point of view.
Alberto Lastra, Stephane Malek
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On the multiple-scale analysis for some linear partial q-difference and differential equations with holomorphic coefficients

Advances in Difference Equations, 2019
We consider analytic and formal solutions of certain family of q-difference-differential equations under the action of a complex perturbation parameter. The previous study (Lastra and Malek in Adv. Differ. Equ. 2015:344, 2015) provides information in the
Thomas Dreyfus, Alberto Lastra, Stéphane Malek   +2 more
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