SOLVABILITY OF SOME 4TH (AND HIGHER) ORDER SINGULAR BOUNDARY-VALUE-PROBLEMS

被引:89
作者
OREGAN, D
机构
[1] Department of Mathematics, Maynooth College, Co. Kildare
关键词
D O I
10.1016/0022-247X(91)90363-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Existence results for a variety of singular fourth order boundary value problems of the form yiv = f(t, y, y′, y″) are given. Here our nonlinear term f may be singular at t = 0, t = 1, y = 0, and/or y″ = 0. For example, some singularities of the type y-a and |y″|-b are included. Also we discuss and treat the extension of these results to nth order boundary value problems. © 1991.
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页码:78 / 116
页数:39
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