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《Applied Mathematics A Journal of Chinese Universities(Ser.A)》 2008-02
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Higher-order asymptotic solutions of a class of boundary value problems for third-order differential equation with a turning point

YU Zan-ping ZHANG Qiong-yuan ZHOU Zhe-yan(School of Math.and Comput.Sci.,Fujian Normal Univ.,Fuzhou 350007,China)  
By using the upper and lower solutions method,a class of boundary value problems for third-order differential equation with a turning point in the following form: {ε~2y″′=f(t,y,ε)y″+g(t,y,ε)y′+h(t,y,ε),atb,y(a,ε)=A(ε),y′(a,ε)=B(ε),y′(b,ε)=C(ε) has been researched and constructed,where a0b and t=0 is a turning point.Then by using the theory of differential inqualities,the existence of solution is proved and the error estimate of the solution under certain conditions is obtained.
【Fund】: 福建省科技厅基金(2005K028);; 福建省教育厅基金(JA03172)
【CateGory Index】: O175
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【Citations】
Chinese Journal Full-text Database 3 Hits
1 Ye zhiyong(Department of Basic Sciences, Chongqing Industrial Management College);A SINGULARLY PERTURBED THIRD-ORDER NONLINEAR BOUNDARY VALUE PROBLEMS OF FIRST KIND WITH TURNING POINT[J];APPLIED MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES;1994-04
2 XIAO CHENGYOU(Department of Mathematics, East China Normal University, Shanghai 200062, China);TURNING POINT PROBLEMS FOR THE THIRD ORDER DIFFERENTIAL EQUATIONS EXHIBITING RESONANCE[J];应用数学学报(英文版);1995-02
3 Cai Jian-ping (Dept. of Maih., Zhangzhou Normal College, Fujian) Lin Zong-chi (Dept. of Math., Fujian Normal University, Fuzhou);Existence of Solutions for a Singularly Perturbed Boundary Value Problem for the Third Order Semi Linear Differential Equation with a Turning Point[J];Applied Mathematics and Mechanics;1993-12
【Co-citations】
Chinese Journal Full-text Database 9 Hits
1 FU Yang-geng,YU Zan-ping,ZHOU Zhe-yan (School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350007,China);The Higher-order Asymptotic Solution of a Class of Two Point Robin Boundary Value Problems for Third-order Differential Equation[J];Journal of Fujian Normal University(Natural Science Edition);2008-02
2 CHEN Wei(Fuzhou Education Institute educational administration office,Fuzhou,Fujian 350001,China);On nonlinear differential equation with turning point involving two small parameters[J];Journal of Minjiang University;2007-02
3 WU Qin-kuan(Dept. of Basic Courses, Nanjing Institute of Technology, Nanjing210013, China);A class of boundary-value problem with singular perturbation for third-order nonlinear equations[J];Journal of Gansu University of Technology;2003-04
4 DONG Rong1,YU Zan-ping2 (1.Fujian College of Medical Occupation and Technology, Fuzhou 350101, China; 2.School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 35007,China);A Class of N-point Boundary Value Problem for Third Order Differential Equation[J];Journal of Sanming University;2007-02
5 Cai Jianping (Dept of Math. Zhangzhou Teachers College, 363000);Multiple Boundary Layer Phenomena of Solution for Singularly Perturbed Boundary Value Problem with a Turning Point[J];JOURNAL OF MATHEMATICAL STUDY;1998-01
6 Wu Qinkuan;On Uniformly Valid Estimation of Solations to Singularly PerturbedNonlinear Boundary Value Problems for the Third OrderNonlinear Differential Equation with Turning Point[J];Journal of Wuhu Professional Technology College;2000-01
7 Ye Zhiyong (Dept.of Mathematics, Chongqing Institute of Technology, Chongqing 400050) Du\ Wenjiu (Dept.of Mathematics,Southwest China Normal University,Chongqing 400715);The boundary value problem of singular perturbation with boundary layer at tuming point[J];JOURNALOF SOUTHWEST CHINA NORMAL UNIVERSITY(NATURAL SCIENCE);2000-01
8 Cai Jianping(Dept. of Math., Zhangzhou Teachers College, Fujian, 363000);SINGULAR PERTURBATION OF THIRD ORDER NONLINEAR ROBIN BOUNDARY VALUE PROBLEM WITH A TURNING POINT[J];Journal of Zhangzhou Normal University(Natural Science);1997-04
9 YE Xiao-chao(Xiamen ocean college,Xiamen,Fujian 361012,China);Second Order Nonlinear Differential Equation with Turning Point[J];Journal of Zhangzhou Teachers College(Natural Science);2006-02
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 Li Yong and Zhou Qinde (Department of Mathematics, Jilin University);The Asymptotic Expansions of Solutions for Second Order Quasilinear Singularly Perturbed Equations with Truning Points[J];Journal of Jilin University;1988-04
2 Zhou Qinde and Wang Huaizhong (Department of Mathematics, Jilin University);On Uniformly-Valid Estimate of Solutions to Singularly Perturbed Boundary Value Problem with High Order Turning Point[J];Journal of Jilin University;1988-04
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