具p-Laplacian算子的分?jǐn)?shù)階微分方程邊值問題的多重正解
發(fā)布時間:2021-10-09 21:12
研究了一類具有p-Laplacian算子的分?jǐn)?shù)階微分方程邊值問題的多重正解.首先給出了格林函數(shù)及其性質(zhì),其次將邊值問題轉(zhuǎn)化為與其等價的積分方程,最后利用錐壓縮錐拉伸不動點定理和Leggett-Williams不動點定理分別證明了邊值問題一個及多個正解的存在性,并給出實例加以驗證.
【文章來源】:東北師大學(xué)報(自然科學(xué)版). 2020,52(03)北大核心
【文章頁數(shù)】:6 頁
【參考文獻】:
期刊論文
[1]POSITIVE SOLUTIONS TO m-POINT BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH p-LAPLACIAN[J]. Anping Chen~1,2,Yi Chen~1 (1.School of Math.and Computational Science,Xiangtan University,Xiangtan 411005,Hunan;2.Dept.of Math.,Xiangnan University,Chenzhou 423000,Hunan). Annals of Differential Equations. 2011(04)
本文編號:3427013
【文章來源】:東北師大學(xué)報(自然科學(xué)版). 2020,52(03)北大核心
【文章頁數(shù)】:6 頁
【參考文獻】:
期刊論文
[1]POSITIVE SOLUTIONS TO m-POINT BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH p-LAPLACIAN[J]. Anping Chen~1,2,Yi Chen~1 (1.School of Math.and Computational Science,Xiangtan University,Xiangtan 411005,Hunan;2.Dept.of Math.,Xiangnan University,Chenzhou 423000,Hunan). Annals of Differential Equations. 2011(04)
本文編號:3427013
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