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次线性Emden-Fowler方程两点边值问题的唯一解φ(t)在零点的收敛速率

The Convergence Rate of the Unique Solution φ(t) at Zero to the Nonlinear Emden-Fowler Equation Two-point Boundary Value Problems
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摘要 研究了次线性Emden-Fowler方程u″(t)+b(t)up=0,0<p<1,u(0)=u(1)=0。两点边值问题的唯一解φ(t)在零点的收敛速率的问题,其中b(t)∈C(0,1)且在(0,1)上b(t)>0。 The convergence rate of the unique solution φ(t) is show at zero to the nonlinear Emden-Fowler equation two-point boundary value problems {u″(t)+b(t)u^p=0,0〈p〈1, u(0)=u(1)=0.where b (t)∈(0, 1 ) ,which is positive.
作者 李圣 刘璇
出处 《科学技术与工程》 2010年第3期741-742,750,共3页 Science Technology and Engineering
基金 国家自然科学基金项目(10871120) 山东省教育厅基金(J07WH08) 山东省自然科学基金(Y2008A06)资助
关键词 收敛速度 零点问题 Emden—Fowler方程 convergence rate zero problems Emden-Fowler equation
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参考文献4

  • 1Zhang Zhijun. Boundary blow-up elliptic problems with nonlinear gradient terms, Journal of Differential Equations,2006 ; 228 : 661-684.
  • 2Cano-Casanova S, Lopez-Gomez J. Existence, uniqueness and blow-up rate of large solutions for a canonical class of one-dimensional problems on the half-line. J Differential Equations,2008 ;244:3180--3203.
  • 3Zhang Yong. Positive solutions of singular sublinear Emden-Fowler boundary value problems. Journal of Mathematical Analysis and Applications, 1994 ; 185:215--222.
  • 4Habets P. Upper and lower solutions for a generalized Emden-Flowler equation,Journal of Mathematical Analysis and Applications, 1994; 181:684--700.

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