Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844894 | Nonlinear Analysis: Theory, Methods & Applications | 2006 | 26 Pages |
Abstract
We introduce a natural generalization of the concept of regularly varying functions in the sense of Karamata, and show that the class of generalized Karamata functions is a well-suited framework for the study of the asymptotic behavior of nonoscillatory solutions of the half-linear differential equation of the typeequation(A)(p(t)|y′|α-1y′)′+q(t)|y|α-1y=0.(p(t)|y′|α-1y′)′+q(t)|y|α-1y=0.
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Authors
Jaroslav Jaroš, Kusano Takaŝi, Tomoyuki Tanigawa,