A Modern Introduction to Mathematical Analysis

Fonda, Alessandro

  • 出版商: Birkhauser Boston
  • 出版日期: 2024-03-24
  • 售價: $2,740
  • 貴賓價: 9.5$2,603
  • 語言: 英文
  • 頁數: 431
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031237153
  • ISBN-13: 9783031237157
  • 無法訂購

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作者簡介

Alessandro Fonda obtained his PhD at the International School for Advanced Studies (SISSA-Trieste) in 1988, under the supervision of Jean Mawhin. Then he first got a research position in Belgium, before going back to Italy, at the University of Trieste, becoming full professor in 2002.

He obtained two prizes from the Académie Royale de Belgique for his monographs "Periodic solutions of scalar second order differential equations with a singularity" in 1993 and "Playing around resonance. An invitation to the search of periodic solutions for second order ordinary differential equations" in 2017.

He has been invited to give plenary lectures at several conferences in Europe and in the USA.

His research interests are mainly concentrated on existence and multiplicity problems for boundary value problems. He recently gave an important contribution to the study of the periodic problem for Hamiltonian systems by providing some generalizations of the Poincaré-Birkhoff Theorem in higher dimensions. He also studied problems related to differential inclusions, persistence in dynamical systems, and global behaviour of the solutions to planar systems.

作者簡介(中文翻譯)

Alessandro Fonda於1988年在國際高等研究學院(SISSA-Trieste)獲得博士學位,指導教授為Jean Mawhin。之後他在比利時獲得了一個研究職位,然後回到意大利的Trieste大學,在2002年成為正教授。

他因其專著《具有奇異性的標量二階微分方程的週期解》(1993年)和《玩轉共振。尋找二階常微分方程週期解的邀請》(2017年)獲得了比利時皇家學院的兩個獎項。

他曾應邀在歐洲和美國的多個會議上發表主題演講。

他的研究興趣主要集中在邊界值問題的存在性和多樣性問題上。他最近在哈密頓系統的週期問題研究中做出了重要貢獻,通過提供了一些更高維度的Poincaré-Birkhoff定理的推廣。他還研究了與微分包含、動力系統中的持續性以及平面系統解的全局行為相關的問題。

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