Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630091 | Applied Mathematics and Computation | 2012 | 18 Pages |
Abstract
The fourth order nonlinear differential equationsequation(A)x(4)+q(t)|x|γsgnx=0,0<γ<1,with regularly varying coefficient q(t) are studied in the framework of regular variation. It is shown that thorough and complete information can be acquired about the existence of all possible regularly varying solutions of (A) and their accurate asymptotic behavior at infinity.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Takaši Kusano, Jelena V. Manojlović,