Periodic solutions of Abel equations with jumps

DOI10.1016/j.jmaa.2018.11.067zbMath1448.34039OpenAlexW2902231197WikidataQ128858537 ScholiaQ128858537MaRDI QIDQ2414794

Yanyan Li

Publication date: 17 May 2019

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.2018.11.067

zbMATH Keywords

periodic solutionsRiccati equationAbel equationEinstein-Friedmann universeiterated convolutions algorithmstate-dependent jumps

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Discontinuous ordinary differential equations (34A36)

Related Items (1)

Positive periodic solutions of Friedmann's equation for the acceleration of the cosmological scale factor

Cites Work

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• Uniqueness of limit cycles for polynomial first-order differential equations
• Functional analysis, Sobolev spaces and partial differential equations
• The number of limit cycles for generalized Abel equations with periodic coefficients of definite sign
• Distributional van der Pol equation with state-dependent impulses
• Centers and limit cycles for a family of Abel equations
• On the number of limit cycles of a generalized Abel equation
• Anti-periodic solutions of Abel differential equations with state dependent discontinuities
• Universal centres and composition conditions
• Friedman versus Abel equations: A connection unraveled

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