Moderately growing solutions of third-order differential equations with a singular nonlinearity and regularly varying coefficients

DOI10.1515/jamsi-2015-0003zbMath1334.34081OpenAlexW2566641852MaRDI QIDQ275551

Ivana Kučerová

Publication date: 26 April 2016

Published in: Journal of Applied Mathematics, Statistics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jamsi-2015-0003

zbMATH Keywords

asymptotic behaviorpositive solutionsingular nonlinearitymoderately growing solutionregularly varying functionsthird order nonlinear differential equation

Mathematics Subject Classification ID

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

Cites Work

• Asymptotic behavior of positive solutions of sublinear differential equations of Emden-Fowler type
• Regular variation and differential equations
• Asymptotic forms of positive solutions of quasilinear ordinary differential equations with singular nonlinearities
• Existence and precise asymptotics of positive solutions for a class of nonlinear differential equations of the third order
• Positive solutions to a class of second order differential equations with singular nonlinearities
• 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
• L'Hospital's Rule
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Moderately growing solutions of third-order differential equations with a singular nonlinearity and regularly varying coefficients