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The existence of unbounded solutions of asymmetric oscillations in the degenerate resonant case

Published online by Cambridge University Press:  15 February 2023

Min Li  and
Xiong Li
Min Li
Affiliation:
School of Mathematical Sciences, Ocean University of China, Qingdao 266100, People's Republic of China (limin@ouc.edu.cn)
Xiong Li
Affiliation:
Laboratory of Mathematics and Complex Systems (Ministry of Education), School of Mathematical Sciences, Beijing Normal University, Beijing 100875, People's Republic of China (xli@bnu.edu.cn)
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Abstract

We prove the existence of unbounded solutions of the asymmetric oscillation in the case when each zero of the discriminative function is degenerate. This is the only case that has not been studied in the literature.

Keywords

Asymmetric oscillationsUnbounded solutions
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 154 , Issue 1 , February 2024 , pp. 285 - 303
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Copyright
Copyright © The Author(s), 2023. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh

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