Intermediate solutions of fourth order quasilinear differential equations in the framework of regular variation

DOI10.1016/j.amc.2014.09.109zbMath1338.34099OpenAlexW1983008033MaRDI QIDQ298442

Jelena Milošević, Kusano Takaŝi, Jelena V. Manojlovic

Publication date: 20 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.09.109

zbMATH Keywords

positive solutionsasymptotic behavior of solutionsslowly varying functionfourth order differential equationregularly varying function

Mathematics Subject Classification ID

Asymptotic properties of solutions to ordinary differential equations (34D05) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Related Items (3)

Asymptotic analysis of positive solutions of first-order cyclic functional differential systems ⋮ On preserving the limit points of corresponding objects ⋮ Existence and asymptotic behavior of intermediate type of positive solutions of fourth-order nonlinear differential equations

Cites Work

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• Regular variation and differential equations
• Asymptotics of decreasing solutions of coupled \(p\)-Laplacian systems in the framework of regular variation
• Asymptotic analysis of positive solutions of generalized Emden-Fowler differential equations in the framework of regular variation
• Intermediate solutions of second order quasilinear ordinary differential equations in the framework of regular variation
• Self-adjoint differential equations and generalized Karamata functions
• Regularly varying functions

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