Aleksandra B. Trajkovic, Jelena V. Manojlovic
Abstract:
We study the fourth-order nonlinear differential equation
with regularly varying coefficient
satisfying
in the framework of regular variation. It is shown that complete information
can be acquired about the existence of all possible intermediate regularly
varying solutions and their accurate asymptotic behavior at infinity.
Submitted March 26, 2016. Published June 5, 2016.
Math Subject Classifications: 34C11, 34E05, 26A12.
Key Words: Fourth order differential equation; asymptotic behavior of solutions;
positive solution, regularly varying solution, slowly varying solution.
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Aleksandra Trajkovic University of Nis Faculty of Science and Mathematics Department of Mathematics Visegradska 33, 18000 Nis, Serbia email: aleksandra.trajkovic@pmf.edu.rs | |
Jelena V. Manojlovic University of Nis Faculty of Science and Mathematics Department of Mathematics Visegradska 33, 18000 Nis, Serbia email: jelenam@pmf.ni.ac.rs |
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