BIFURCATION AND STABILITY OF POSITIVE SOLUTIONS OF A 2-POINT BOUNDARY-VALUE PROBLEM

被引：16

作者：

WANG, SH

KAZARINOFF, ND

机构：

[1] Department of Mathematics, National Tsing Hua University, Hsinchu

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1992年 / 52卷

关键词：

BIFURCATION; STABILITY; POSITIVE SOLUTION; 2-POINT BOUNDARY VALUE PROBLEM; AND CONLEY INDEX;

D O I：

10.1017/S1446788700035060

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the existence of multiple positive solutions of a nonlinear two-point boundary value problem by modifying a "time map" technique introduced by J. Smoller and A. Wasserman. We count the number of positive solutions and find their Conley indices and thus determine their stabilities.

引用

收藏

页码：334 / 342

页数：9

相关论文

共 15 条

[1] POSITIVE SOLUTIONS OF ASYMPTOTICALLY LINEAR ELLIPTIC EIGENVALUE PROBLEMS [J].

AMBROSETTI, A ;

HESS, P .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1980, 73 (02) :411-422

[2]

DANCER EN, 1986, P LOND MATH SOC, V53, P429

[3]

Gelfand I. M., 1963, AM MATH SOC TRANSL 2, V29, p[295, 87]

[4]

Kolmogorov AN, 1937, B MGU A, V1, P1, DOI DOI 10.1016/j.jde.2006.04.010

[5] THE ASYMPTOTIC GROWTH OF SOLUTIONS OF DELTA-U = LAMBDA-F(U) FOR LARGE -LAMBDA [J].

SEIDMAN, TI .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1981, 30 (02) :305-311

[6] GENERIC BIFURCATION OF STEADY-STATE SOLUTIONS [J].

SMOLLER, J ;

WASSERMAN, A .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1984, 52 (03) :432-438

[7] GLOBAL BIFURCATION OF STEADY-STATE SOLUTIONS [J].

SMOLLER, J ;

WASSERMAN, A .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1981, 39 (02) :269-290

[8]

Smoller J., 1994, SHOCK WAVES REACTION, DOI DOI 10.1007/978-1-4684-0152-3

[9]

Wang S.-H., 1989, J DIFFER EQUATIONS, V77, P199, DOI [10.1016/0022-0396(89)90162-9, DOI 10.1016/0022-0396(89)90162-9]

[10] BIFURCATION OF STEADY-STATE SOLUTIONS OF A SCALAR REACTION-DIFFUSION EQUATION IN ONE SPACE VARIABLE [J].

WANG, SH ;

KAZARINOFF, ND .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1992, 52 :343-355