Irina Astashova, "On Qualitative Properties and Asymptotic Behavior of Solutions to Higher-Order Nonlinear Differential Equations," WSEAS Transactions on Mathematics, vol. 16, pp. 39-47, 2017, DOI:
Irina Astashova. On Qualitative Properties and Asymptotic Behavior of Solutions to Higher-Order Nonlinear Differential Equations.
WSEAS Transactions on Mathematics. 2017;16:39-47.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 16, 2017
On Qualitative Properties and Asymptotic Behavior of Solutions to Higher-Order Nonlinear Differential Equations
Author:
Abstract: We discuss the asymptotic behavior of solutions to a higher-order Emden–Fowler type equation with constant potential. Several author’s results are presented concerning both positive and oscillatory solutions to equations with regular and singular nonlinearities. We discuss the existence and asymptotic behavior of “blowup” solutions. Results on the asymptotic behavior of oscillating solutions are formulated. For the third- and forth-order equations an asymptotic classification of all solutions is presented. Some applications of the results obtained are proposed.
Keywords:
Qualitative properties, asymptotic behavior, nonlinear equations, blow-up, oscillatory solutions
Pages: 39-47 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 16, 2017, Art. #5 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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