一類具偏差變元的p-Laplacian方程的周期解

摘要：應(yīng)用ManásevichMawhin 連續(xù)性定理，研究了具偏差變元的含有2個(gè)pLaplacian算子的微分方程周期解的存在性，獲得了周期解存在的新的充分性條件，并通過實(shí)例說明本文結(jié)論的有效性.

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關(guān)鍵詞：周期系統(tǒng)；pLaplacian算子；周期解;存在性;ManásevichMawhin連續(xù)定理

中圖分類號(hào)：O175.6 文獻(xiàn)標(biāo)識(shí)碼：A

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4 結(jié)論

本文應(yīng)用ManásevichMawhin的連續(xù)性定理和一些分析技巧，在沒有f(0)=0和∫2π0e(t)dt=0的條件下，得到了pLaplacian方程(3) 存在2π周期解的新的充分性條件.

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