Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628791 | Applied Mathematics and Computation | 2013 | 14 Pages |
Abstract
Intermediate solutions of Emden–Fowler type differential equationp(t)|x′(t)|α-1x′(t)′+q(t)|x(t)|β-1x(t)=0,α>β>0,are studied in the framework of regular variation. Under the assumptions that p(t),q(t)p(t),q(t) are generalized regularly varying functions necessary and sufficient conditions are established for the existence of three possible types of intermediate solutions witch are generalized regularly varying functions and it is shown that the asymptotic behavior of all such solutions of each type is governed by a unique explicit decay law.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Kusano Takaŝi, Jelena V. Manojlović, Jelena Milošević,