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This volume is the record of a workshop on differential equations and the Stokes phenomenon, held in May 2001 at the University of Groningen. It contains expanded versions of most of the lectures given at the workshop. To a large extent, both the wor
Autor:
G. K. Immink
Publikováno v:
Journal of Dynamical and Control Systems. 1:483-534
We define elementary acceleration operators and accelero-Laplace transformations on certain classes of (germs of) hyperfunctions on ℝ. The type of accelero-Laplace transforms considered here generalizes the notion of multisum of a formal power seri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::af4a4000b8c2c4793fdec559a4cab57c
https://doi.org/10.1007/bf02255894
https://doi.org/10.1007/bf02255894
Autor:
G. K. Immink
Publikováno v:
Siam journal on mathematical analysis, 22(2), 524-542
This paper discusses the relevance of the asymptotic behavior of the coefficients of asymptotic power series for the study of Stokes phenomena. By way of illustration a connection problem is considered in the theory of linear difference equations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d3fc871ef567bec9e8e3a65421b188f9
https://research.rug.nl/en/publications/0f2490d2-d69d-459b-a0ea-b104dc09f52a
https://research.rug.nl/en/publications/0f2490d2-d69d-459b-a0ea-b104dc09f52a
Autor:
G. K. Immink
Publikováno v:
Siam journal on mathematical analysis, 22(1), 238-259
Previous results concerning the existence of right inverses of linear difference operators on Banach Spaces of holomorphic functions are extended. The Stokes phenomenon is analyzed for a class of very singular linear difference equations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d657eb10c2ac9df1ac647c24aaa94958
https://research.rug.nl/en/publications/fde10323-d639-4ca5-b257-ed5ec4b08b77
https://research.rug.nl/en/publications/fde10323-d639-4ca5-b257-ed5ec4b08b77
Autor:
G. K. Immink
Publikováno v:
Siam journal on mathematical analysis, 21(3), 782-792
This paper generalizes a result of Balser, Jurkat, and Lutz [J. Math. Anal. Appl., 71 (1979), pp. 48–94] concerning the relation between the Stokes multipliers of a homogeneous linear differential equation with an irregular singularity and the asym
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04a297e6f77f18878328c7150dc361c7
https://doi.org/10.1137/0521042
https://doi.org/10.1137/0521042
The 16th Problem of Hilbert is one of the most famous remaining unsolved problems of mathematics. It concerns whether a polynomial vector field on the plane has a finite number of limit cycles. There is a strong connection with divergent solutions of