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四阶超线性奇异p-Laplacian边值问题的正解 被引量:1

Positve Solutions of Fourth Order Singular Superlinear p-Laplacian BVPs
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摘要 该文利用锥上的不动点定理,给出四阶超线性奇异p-Laplacian边值问题正解存在的充分必要条件.所给出的条件与非线性项的可积性有关. Necessary and sufficient conditions for existence of positive solutions of fourth order singular superlinear p-Laplacian BVPs are established by employing the fixed point theorem in cones. The conditions involve the integral of the nonlinear terms.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2009年第2期344-352,共9页 Acta Mathematica Scientia
基金 国家自然科学基金(10671141)资助
关键词 正解 四阶微分方程 边值问题 充要条件. Positive solution Fourth order differential equation Boundary value problem Necessary and sufficient condition.
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  • 1Shi G, Chen S. Positive solutions of fourth-order superlinear singular boundary value problems. Bull Austral Math Soc, 2002, 66:95-104
  • 2Wei Z. Existence of positive solutions for 2nth-order singular sublinear boundary value problems. J Math Anal Appl, 2005, 306:619-636
  • 3Zhang J, Shi G. Positive solutions for fourth order singular p-Laplacian boundary value problems. Appl Anal, 2006, 85:1373-1832
  • 4Aftabizadeh A R. Existence and uniqueness theorems for fourth-order boundary value problems. J Math Anal Appl, 1986, 116:415-426
  • 5Agarwal R P On fourth-order boundary value problems arising in beam analysis. Diff Integral Equations, 1989, 2:91-110
  • 6Bai Z. The method of lower and upper solutions for a bending of an elastic beam equation. J Math Anal Appl, 2000, 248:195-202
  • 7Davis J D, Henderson J, Wong P J Y. General Lidstone problems: multiplicity and symmetry of solutions. J Math Anal Appl, 2000, 251:527-548
  • 8Graef J R, Yang B. Existence and nonexistence of positive solutions of fourth order nonlinear boundary value problem. Appl Anal, 2000, 74:201-214
  • 9Jiang D, Gao W. Upper and lower solution method and a singular boundary value problems for the one-dimension p-Laplacian. J Math Anal Appl, 2000, 252:631-638
  • 10Ma R, Zhang J, Pu S. The method of lower and upper solutions for fourth-order two-point boundary value problems. J Math Anal Appl, 1997, 215:415-422

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