Nonlinear boundary value problems with multiple solutions

被引：17

作者：

Baxley, JV ^{[1
]}

Haywood, LJ ^{[1
]}

机构：

[1] Wake Forest Univ, Dept Math, Winston Salem, NC 27109 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 47卷 / 02期

关键词：

nonlinear boundary value problems; multiple solutions; shooting;

D O I：

10.1016/S0362-546X(01)00257-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a given positive integer N, we provide conditions on the nonlinear function f which guarantees that the boundary value problem y " + f(y) = 0, 0 less than or equal to x less than or equal to 1, y(0) = 0, y(1) = 0, has N positive solutions. We use a shooting method based on elementary estimates.

引用

页码：1187 / 1198

页数：12

共 5 条

[1]

Coppel W.A., 1965, STABILITY ASYMPTOTIC

[2]

EARL A., 1955, THEORY ORDINARY DIFF

[3] Multiple symmetric positive solutions for a second order boundary value problem [J].

Henderson, J ;

Thompson, HB .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (08) :2373-2379

[4]

HENDERSON J, 2000, COMMUNICATIONS APPL, V7, P55

[5] MULTIPLE POSITIVE FIXED-POINTS OF NON-LINEAR OPERATORS ON ORDERED BANACH-SPACES [J].

LEGGETT, RW ;

WILLIAMS, LR .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1979, 28 (04) :673-688

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