Dispersions for linear differential equations of arbitrary order

Neuman, František

Neuman, František

Archivum Mathematicum, Tome 033 (1997), p. 147-155 / Harvested from Czech Digital Mathematics Library

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Résumé

For linear differential equations of the second order in the Jacobi form

$y^{\prime \prime } + p(x)y = 0$ O. Borvka introduced a notion of dispersion. Here we generalize this notion to certain classes of linear differential equations of arbitrary order. Connection with Abel’s functional equation is derived. Relations between asymptotic behaviour of solutions of these equations and distribution of zeros of their solutions are also investigated.

Publié le : 1997-01-01

MR 1464309 | Zbl 0914.34010

Classification: 34C10, 34C11, 34C99, 39B22

@article{107605,
     author = {Franti\v sek Neuman},
     title = {Dispersions for linear differential equations of arbitrary order},
     journal = {Archivum Mathematicum},
     volume = {033},
     year = {1997},
     pages = {147-155},
     zbl = {0914.34010},
     mrnumber = {1464309},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107605}
}

Neuman, František. Dispersions for linear differential equations of arbitrary order. Archivum Mathematicum, Tome 033 (1997) pp. 147-155. http://gdmltest.u-ga.fr/item/107605/

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