International Journal of Mathematics and Mathematical Sciences
Volume 10 (1987), Issue 1, Pages 47-50
doi:10.1155/S016117128700005X
On the boundedness and oscillation of solutions to (m(t)x′)′+a(t)b(x)=0
Allan J. Kroopnick
Division of Retirement and Survivor Studies, 1-B-10 Annex, Social Security Administration, 6401 Security Boulevard, Baltimore 21235, Maryland, USA
Abstract
In this paper, we discuss under what conditions the solutions to (m(t)x′)′+a(t)b(x)=0 are bounded, oscillatory, and stable. Furthermore, some applications of these results are given during the discussion and proofs of the theorems.