Borel summability of divergent solutions for singularly perturbed first-order ordinary differential equations
Hibino, Masaki
Tohoku Math. J. (2), Tome 58 (2006) no. 1, p. 237-258 / Harvested from Project Euclid
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This paper is concerned with the study of the Borel summability of divergent solutions for singularly perturbed inhomogeneous first-order linear ordinary differential equations which have a regularity at the origin. In order to assure the Borel summability of divergent solutions, global analytic continuation properties for coefficients are required despite the fact that the domain of the Borel sum is local.
Publié le : 2006-06-14
Classification:  Singular perturbation,  divergent solution,  Borel summability,  analytic continuation,  35C20,  35C10,  35C15 
@article{1156256403,
     author = {Hibino, Masaki},
     title = {Borel summability of divergent solutions for singularly perturbed first-order ordinary differential equations},
     journal = {Tohoku Math. J. (2)},
     volume = {58},
     number = {1},
     year = {2006},
     pages = { 237-258},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1156256403}
}

Hibino, Masaki. Borel summability of divergent solutions for singularly perturbed first-order ordinary differential equations. Tohoku Math. J. (2), Tome 58 (2006) no. 1, pp.  237-258. http://gdmltest.u-ga.fr/item/1156256403/