Article ID Journal Published Year Pages File Type
4630091 Applied Mathematics and Computation 2012 18 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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