摘要
讨论了如下四阶奇异边值问题的存在性■其中f可能在t=0,1都有奇点。
出处
《大理学院学报（综合版）》
CAS
2006年第12期42-44,66,共4页
Journal of Dali University
基金
云南省教育厅资助(Ky416140)
二级参考文献5
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3[3]Zhao, Z. Q., Positive solution of boundary value problem of nonlinear singular differential equation (in Chinese), Acta Math., 43(2000), 179-188.
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4[4]Chang, K. C., Critical Point Theory and Its Applications (in Chinese), Shanghai Scientific and Technological Literature Publishing, 1986.
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5[5]Liu, J. Q., Positive solutions for singular boundary problem of second order (in Chinese), Journal of Qu Fu Normal University, 28:4(2002), 1-10.
同被引文献12
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1John R.Graef,Lingju Kong,Qingkai Kong.Symmetric positive solutions of nonlinear boundary value problems[J].Journal of Mathematical Analysis and Applications,2007,326(2):1310-1327.
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2Bingmei Liu,Lishan Liu,Yonghong Wu.Existence of nontrivial periodic solutions for a nonlinear second order periodic boundary value problem[J].Nonlinear Analysis:Theory,Methods & Applications,2010,72(7):3337-3345.
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3Jian-Lin Li.Adomian's decomposition method and homotopy perturbation method in solving nonlinear equations[J].Journal of Computational and Applied Mathematics,2009,228(1):168-173.
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4Turgutozis,Ahmet Yildlrim.Comparison between Adomian's method and He's homotopy perturbation method[J].Computers &Mathematics with Applications,2008,56(5):1216-1224.
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5S.Abbasbandy,Y.Tan,S.J.Liao.Newton-homotopy analysis method for nonlinear equations[J],Applied Mathematics and Computation,2007,2(15):1794-1800.
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6Changbum Chun,Beny Neta.Certain improvements of Newton's method with fourth-order convergence[J].Applied Mathematics and Computation,2009,215 (2):821-828.
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7李庆杨,王能超,易大义.数值分析[M]斌汉:华中科技大学出版社,2001:150-155.
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8Xin-Yuan Wu.A new continuation Newton-like method and its deformation[J].Applied Mathematics and Computation,2000,112(1):75-78.
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9Jisheng Kou,Yitian Li.The improvements of Chebyshev-Halley methods with fifth-order convergence[J].Applied Mathematics and Computation,2007,188(1):143-147.
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10Changbum Chun,YoonMee Ham.Some sixth-order variants of Ostrowski root-finding methods[J].Applied Mathematics and Computation,2007,193(2):389-394.
