一類超線性二階Hamiltonian周期解的存在性(英文)
發(fā)布時間:2019-06-17 08:36
【摘要】:本文研究一類具新的超二次條件的二階Hamiltonian系統(tǒng)周期解問題,利用同調(diào)環(huán)繞理論和Morse理論得到一些周期解的存在性結(jié)論.
[Abstract]:In this paper, we study the problem of periodic solutions for a class of second order Hamiltonian systems with new hyperquadratic conditions, and obtain some results on the existence of periodic solutions by using homology surround theory and Morse theory.
【作者單位】: 安徽工貿(mào)職業(yè)技術(shù)學(xué)院基礎(chǔ)部;安徽大學(xué)數(shù)學(xué)科學(xué)學(xué)院;
【基金】:Supported by Anhui Provincial Natural Science Foundation(1408085MA02) the Key Foundation of Anhui Education Bureau(KJ2012A019) 211 Project of Anhui University(02303303-33030011,J18520207)
【分類號】:O175
[Abstract]:In this paper, we study the problem of periodic solutions for a class of second order Hamiltonian systems with new hyperquadratic conditions, and obtain some results on the existence of periodic solutions by using homology surround theory and Morse theory.
【作者單位】: 安徽工貿(mào)職業(yè)技術(shù)學(xué)院基礎(chǔ)部;安徽大學(xué)數(shù)學(xué)科學(xué)學(xué)院;
【基金】:Supported by Anhui Provincial Natural Science Foundation(1408085MA02) the Key Foundation of Anhui Education Bureau(KJ2012A019) 211 Project of Anhui University(02303303-33030011,J18520207)
【分類號】:O175
【參考文獻(xiàn)】
相關(guān)期刊論文 前1條
1 劉嘉荃;;THE MORSE INDEX OF A SADDLE POINT[J];Systems Science and Mathematical Sciences;1989年01期
【共引文獻(xiàn)】
相關(guān)期刊論文 前10條
1 鄭兆岳;王奇;;一類超線性二階Hamiltonian周期解的存在性(英文)[J];應(yīng)用數(shù)學(xué);2017年03期
2 裴瑞昌;張吉慧;馬草川;;一類超線性(p,2)-拉普拉斯Dirichlet問題的非平凡解[J];數(shù)學(xué)物理學(xué)報;2017年01期
3 李,
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