학술논문
On the solutions of a half-linear differential equation.
Document Type
Journal
Author
Piros, M. AMS Author Profile
Source
Subject
34 Ordinary differential equations -- 34C Qualitative theory
34C11Growth, boundedness
34C11
Language
English
Abstract
From the introduction: ``Consider the differential equation $$y''|y'|^{n-1}+qy^{n^*}=0,\;y=y(x),\;'=\frac d{dx},\;y^{n^*}=|y|^n\cdot {\rm sign}\,y,\tag 1$$ $n>0$, where $q=q(x)$ is a positive continuous function in the interval $(a,b)$ $(-\infty0)$ the results obtained for $n=1$ by À. Elbert [same journal {\bf 4} (1969), 257--266; MR0248395 (40 \#1647)] and us [Publ. Math. Debrecen {\bf 29} (1982), no. 3-4, 299--308; MR0678906 (84b:34042)].''