An oscillatory half-linear differential equation
Elbert, Árpád ; Kusano, Takaŝi ; Tanigawa, Tomoyuki
Archivum Mathematicum, Tome 033 (1997), p. 355-361 / Harvested from Czech Digital Mathematics Library

A second-order half-linear ordinary differential equation of the type $$(|y^{\prime}|^{\alpha-1}y^{\prime})^{\prime}+\alpha q(t)|y|^{\alpha-1}y=0 \leqno{{\rm (1)}}$$ is considered on an unbounded interval. A simple oscillation condition for (1) is given in such a way that an explicit asymptotic formula for the distribution of zeros of its solutions can also be established.

Publié le : 1997-01-01
Classification:  34C10,  35J60,  46F10
@article{107624,
     author = {\'Arp\'ad Elbert and Taka\^si Kusano and Tomoyuki Tanigawa},
     title = {An oscillatory half-linear differential equation},
     journal = {Archivum Mathematicum},
     volume = {033},
     year = {1997},
     pages = {355-361},
     zbl = {0914.34026},
     mrnumber = {1601353},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107624}
}
Elbert, Árpád; Kusano, Takaŝi; Tanigawa, Tomoyuki. An oscillatory half-linear differential equation. Archivum Mathematicum, Tome 033 (1997) pp. 355-361. http://gdmltest.u-ga.fr/item/107624/

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