Atypicality of power-law solutions to Emden–Fowler type higher order equations

DOI10.1090/SPMJ/1597zbMath1440.34054OpenAlexW3005458024WikidataQ114848712 ScholiaQ114848712MaRDI QIDQ5216163

Irina V. Astashova

Publication date: 14 February 2020

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1597

zbMATH Keywords

blow-up solutionsEmden-Fowler equationasymptotically power-law solutions

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (1)

Asymptotic behavior of singular solutions of Emden-Fowler type equations

Cites Work

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• On power and non-power asymptotic behavior of positive solutions to Emden-Fowler type higher-order equations
• Positive solutions with nonpower asymptotic behavior and quasiperiodic solutions to an Emden-Fowler type higher order equations
• On Kneser solutions of higher order nonlinear ordinary differential equations
• Blow-up Kneser solutions to nonlinear higher-order differential equations
• On Kiguradze's problem on power-law asymptotic behavior of blow-up solutions to Emden-Fowler type differential equations
• Application of dynamical systems to the study of asymptotic properties of solutions to nonlinear higher-order differential equations

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