REMARKS ON THE LOWER AND UPPER SOLUTIONS METHOD FOR 2ND-ORDER AND 3RD-ORDER PERIODIC BOUNDARY-VALUE-PROBLEMS

被引：59

作者：

OMARI, P

TROMBETTA, M

机构：

[1] Dipartimento di Scienze Matematiche Università di Trieste Piazzale Europa 1

来源：

APPLIED MATHEMATICS AND COMPUTATION | 1992年 / 50卷 / 01期

关键词：

D O I：

10.1016/0096-3003(92)90007-N

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the solvability and the approximation of the solutions by monotone iteration of the second- and third-order periodic boundary value problems (BVPs) - u" + cu' = f(t,u), u(0) = u(2-pi), u'(0) = u'(2-pi), and u''' + au" + bu' = f(t,u), u(0) = u(2-pi), u'(0) = u'(2-pi), u"(0) = u"(2-pi), in the presence of lower and upper solutions, which may not satisfy the usual ordering condition. To this end some maximum and antimaximum principles are stated and proved for certain linear differential operators naturally associated with the previously stated problems.

引用

页码：1 / 21

页数：21

共 18 条

[1]

ADJE A, 1987, THESIS U LOUVAIN LA

[2] NONLINEAR PERTURBATIONS OF DIFFERENTIAL-OPERATORS WITH NONTRIVIAL KERNEL AND APPLICATIONS TO 3RD-ORDER PERIODIC BOUNDARY-VALUE PROBLEMS [J].