Positive solutions of the fourth-order boundary value problem with dependence on the first order derivative

被引：0

作者：

Lin, YuanJian ^{[1
]}

Yang, Fei ^{[1
]}

机构：

[1] Nanchang Inst Sci & Technol, Nanchang 330108, Jiangxi, Peoples R China

来源：

Proceedings of the 2nd International Conference on Electronics, Network and Computer Engineering (ICENCE 2016) | 2016年 / 67卷

关键词：

The first order derivative; Fourth-order boundary value problem; Positive solution; EXISTENCE; PARAMETERS;

D O I：

暂无

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, By the use of a new fixed point theorem and the Green function. The existence of at least one positive solutions for the fourth-order boundary value problem with the first order derivative {u((4))(t) + Au ''(t) = lambda f(t,u(t),u'(t)) 0<t<1 u(0) = u(1) = u ''(1) = 0 is considered, where f is a nonnegative continuous function and lambda > 0, 0 < A < pi(2).

引用

页码：745 / 750

页数：6

共 10 条

[1] On positive solutions of some nonlinear fourth-order beam equations [J].

Bai, ZB ;

Wang, HY .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 270 (02) :357-368

[2] Existence of positive solutions for fourth-order boundary value problem with variable parameters [J].

Chai, Guoqing .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (04) :870-880

[3] Existence and uniqueness of solutions for a fourth-order boundary value problem [J].

Feng, Hanying ;

Ji, Dehong ;

Ge, Weigao .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (10) :3561-3566

[4] Positive solutions for three-point boundary value problems with dependence on the first order derivative [J].

Guo, YP ;

Ge, WG .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 290 (01) :291-301

[5] Positive solutions of fourth-order boundary value problems with two parameters [J].

Li, YX .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 281 (02) :477-484

[6] Positive solutions of fourth-order two point boundary value problems [J].

Liu, B .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 148 (02) :407-420

[7]

Ma R. Y., 1995, Appl. Anal, V59, P225, DOI DOI 10.1080/00036819508840401

[8] Existence of positive solutions of a fourth-order boundary value problem [J].

Ma, RY .

APPLIED MATHEMATICS AND COMPUTATION, 2005, 168 (02) :1219-1231

[9] Positive solutions for a fourth order p-Laplacian boundary value problem [J].

Xu, Jiafa ;

Yang, Zhilin .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (07) :2612-2623

[10] Local existence of multiple positive solutions to a singular cantilever beam equation [J].

Yao, Qingliu .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 363 (01) :138-154

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