ON ASYMPTOTIC CLASSIFICATION OF SOLUTIONS TO FOURTH-ORDER DIFFERENTIAL EQUATIONS WITH SINGULAR POWER NONLINEARITY

DOI10.3846/13926292.2016.1185043zbMath1488.34307OpenAlexW2395998488MaRDI QIDQ5011634

Irina V. Astashova

Publication date: 27 August 2021

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

Full work available at URL: https://doi.org/10.3846/13926292.2016.1185043

zbMATH Keywords

oscillationsingular nonlinear equationsasymptotic classification

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (3)

Oscillation properties of higher-order sublinear differential equations ⋮ 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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Oscillation criteria for certain nonlinear fourth order equations
• Asymptotic problems for fourth-order nonlinear differential equations
• Application of dynamical systems to the study of asymptotic properties of solutions to nonlinear higher-order differential equations
• On the number of zeros of oscillating solutions of the third- and fourth-order equations with power nonlinearities
• Oscillation criteria for third order nonlinear differential equations
• Nonlinear Oscillation of Fourth Order Differential Equations
• On the seminar on qualitative theory of differential equations at Moscow State University

This page was built for publication: ON ASYMPTOTIC CLASSIFICATION OF SOLUTIONS TO FOURTH-ORDER DIFFERENTIAL EQUATIONS WITH SINGULAR POWER NONLINEARITY