On Asymptotic Classification of Solutions to Nonlinear Regular and Singular Third- and Fourth-Order Differential Equations with Power Nonlinearity

DOI10.1007/978-3-319-32857-7_18zbMath1359.34047OpenAlexW2425645569MaRDI QIDQ2954424

Irina V. Astashova

Publication date: 13 January 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-32857-7_18

zbMATH Keywords

asymptotic behaviorqualitative propertiesasymptotic classification of solutionsnonlinear higher-order ordinary differential equation

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (6)

Asymptotics of oscillating solutions to equations with power nonlinearities ⋮ Asymptotic proximity to higher order nonlinear differential equations ⋮ Unnamed Item ⋮ Asymptotic behavior of unbounded solutions of second-order differential equations with general nonlinearities ⋮ Asymptotic behavior of singular solutions of Emden-Fowler type equations ⋮ On asymptotic behavior of the first derivatives of bounded solutions to second-order differential equations with general power-law nonlinearity

Cites Work

• On quasi-periodic solutions to a higher-order Emden-Fowler type differential equation
• Application of dynamical systems to the study of asymptotic properties of solutions to nonlinear higher-order differential equations
• Theory of Third-Order Differential Equations
• Nonlinear Oscillation of Fourth Order Differential Equations
• Uniform Estimates and Existence of Solutions with Prescribed Domain to Nonlinear Third-Order Differential Equation
• Asymptotic behavior of positive solutions of odd order Emden-Fowler type differential equations in the framework of regular variation
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