NUMBER OF ZEROS OF SOLUTIONS TO SINGULAR INITIAL-VALUE PROBLEMS

Authors
KABEYA Y YANAGIDA E YOTSUTANI S
Citation
Y. Kabeya et al., NUMBER OF ZEROS OF SOLUTIONS TO SINGULAR INITIAL-VALUE PROBLEMS, Tohoku Mathematical Journal, 50(1), 1998, pp. 1-22
Citations number
18
Categorie Soggetti
Mathematics,Mathematics
Journal title
Tohoku Mathematical Journal → ACNP
ISSN journal
00408735
Volume
50
Issue
1
Year of publication
1998
Pages
1 - 22
Database
ISI
SICI code
0040-8735(1998)50:1<1:NOZOST>2.0.ZU;2-S
Abstract
The behavior of solutions of singular initial value problems is studie d for a second order ordinary differential equation. The main purpose of this paper is to obtain sharp sufficient conditions so that any sol ution has a finite number of zeros or infinitely many zeros. We treat them systematically and generalize previous results by using the Pohoz aev identity. As an application, we investigate the number of zeros of radially symmetric solutions to generalized Laplace equations.