On strongly monotone solutions of a class of cyclic systems of nonlinear differential equations

DOI10.1016/j.jmaa.2014.03.044zbMath1309.34050OpenAlexW2061686888MaRDI QIDQ483042

Jaroslav Jaroš, Takasi Kusano

Publication date: 15 December 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.03.044

zbMATH Keywords

asymptotic behaviorpositive solutionsregularly varying functionssystems of differential equations

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic properties of solutions to ordinary differential equations (34D05) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Related Items (8)

Extremal solutions to a system of n nonlinear differential equations and regularly varying functions ⋮ Superlinear solutions of sublinear fractional differential equations and regular variation ⋮ On decaying and asymptotically constant solutions of nonlinear equations with the Weyl fractional derivative of an order in \((1, 2)\) ⋮ Regularly varying sequences and Emden–Fowler type second-order difference equations ⋮ Solving nonlinear systems of fractional-order partial differential equations using an optimization technique based on generalized polynomials ⋮ Asymptotic behavior of increasing positive solutions of second order quasilinear ordinary differential equations in the framework of regular variation ⋮ An Asymptotic Analysis of Solutions of a Second Order Nonlinear Differential Equation ⋮ Positive strongly decreasing solutions of Emden-Fowler type second-order difference equations with regularly varying coefficients

Cites Work

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• Existence and precise asymptotics of positive solutions for a class of nonlinear differential equations of the third order
• Asymptotic analysis of positive solutions of a class of third order nonlinear differential equations in the framework of regular variation
• Asymptotic behavior of positive solutions of odd order Emden-Fowler type differential equations in the framework of regular variation
• Regularly varying functions

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