EUDML | Divergence and summability of normal forms of systems of differential equations with nilpotent linear part

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Displaying similar documents to “Divergence and summability of normal forms of systems of differential equations with nilpotent linear part”

Convergence, via summability, of formal power series solutions to a certain class of completely integrable Pfaffian systems

Sanz, Javier

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Summability of power series in several variables, with applications to singular perturbation problems and partial differential equations

Werner Balser (2005)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Analyzability in the context of PDEs and applications

Ovidiu Costin, Saleh Tanveer (2004)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Power and exponential-power series solutions of evolution equations

Rodica D. Costin (2004)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Necessary and sufficient conditions for matrix summability methods to be stronger than multisummability

Werner Balser, Andreas Beck (1996)

Annales de l'institut Fourier

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For general matrix summability methods, we find necessary and sufficient conditions for such methods to be stronger than multisummability. In a second part we show the existence of power series which are not multisummable but can be summed by a matrix method satisfying the conditions mentioned above