Boundary Value Problems for Liénard‐Type Equations with Quadratic Dependence on the “Velocity”

A. Kirichuka and F. Sadyrbaev

Abstract and Applied Analysis, 2022, vol. 2022, issue 1

Abstract: The estimates were obtained for the number of solutions for the Neumann and Dirichlet boundary value problems associated with the Liénard equation with a quadratic dependence on the “velocity.” Sabatini’s transformation is used to reduce this equation to a conservative one, which does not contain the derivative of an unknown function. Despite the one‐to‐one correspondence between the equilibria, the topological structure of the phase portraits of both equations can differ significantly.

Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2022/9228511

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2022:y:2022:i:1:n:9228511

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().