PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
September 10, 2025Proceedings of the Royal Society of Edinburgh Section A Mathematics0 citations

Atypical bifurcation for periodic solutions of ϕ-Laplacian systems

View Full Paper
PBPierluigi BenevieriGFGuglielmo Feltrin

Key Points

  • The study reveals atypical bifurcation of T-periodic solutions, illustrating new insights into ϕ-Laplacian systems.
  • Key results arise from applying topological degree theory, specifically related to bifurcation from λ = 0.
  • Applications to Liénard-type equations demonstrate the practical relevance of the obtained results.
  • The findings align with Prodi–Ambrosetti's framework, providing a deeper understanding of periodic solutions.

Abstract

Abstract In this paper, we study the T -periodic solutions of the parameter-dependent ϕ -Laplacian equation equation* ( (x') ) '=F (, t, x, x'). equation* Based on the topological degree theory, we present some atypical bifurcation results in the sense of Prodi–Ambrosetti, i. e. , bifurcation of T -periodic solutions from λ = 0. Finally, we propose some applications to Liénard-type equations. Dedicated to Professor Maria Patrizia Pera on the occasion of her 70th birthday

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Benevieri et al. (2025) studied this question.

synapsesocial.com/papers/68c183fe9b7b07f3a060ff95https://doi.org/10.1017/prm.2025.10051
Ask AI
Helpful
Bookmark
Share
View Full Paper