On the equation f‴ + f f″ + λ(1 - F′ 2) = 0 with λ ≤ -1/2 arising in boundary layer theory

被引：0

作者：

Yang G.C. ^{[1
]}

机构：

[1] Department of Computation Science, Box 9007, Chengdu University of Information Technology

来源：

Journal of Applied Mathematics and Computing | 2006年 / 20卷 / 1-2期

关键词：

Boundary value problems; Fixed points; Positive solutions;

D O I：

10.1007/BF02831954

中图分类号：

学科分类号：

摘要：

For any fixed λ ≤ -1/2, there exists f(η) ∈ C 1[0, +∞) which satisfies the following nonlinear boundary value problem f‴ + f f″ + λ(1 - f′2) = 0 a.e. in (0, +∞), f(0) = 0, f′(0) = 0, f′(+∞) = 1, which arises in boundary layer theory in fluid mechanics. © 2006 Korean Socity for Computational & Applied Mathematics and Korean SIGCAM.

引用

页码：479 / 483

页数：4

共 9 条

[1]

Agarwal R. P.(2002)Singular integral equations arising in Homann flow Dynamics of Continuous, Discrete and Impulsive Systems 9 481-488

[2]

O’Regan D.(1931)Some approximate solutions of the boundary layer equations Phiols. Mag. 12 865-896

[3]

Falkner V. M.(1999)Singular nonlinear boundary value problems arising in boundary layer theory J. Math. Anal. Appl. 233 246-256

[4]

Skan S. W.(2003)Existence of solutions to the third-order nonlinear differential equations arising in boundary layer theory Applied Math. Lett. 16 827-832

[5]

Wang J. Y.(2004) + Applied Math. Lett. 17 1261-1265

[6]

Gao W. J.(undefined) + λ(1 - f’ undefined undefined undefined-undefined

[7]

Zhang Z. X.(undefined)) = 0 undefined undefined undefined-undefined

[8]

Yang G. C.(undefined) ε (-1/2, 0) undefined undefined undefined-undefined

[9]

Yang G. C.(undefined)undefined undefined undefined undefined-undefined

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