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POSITIVE SOLUTIONS TO A GENERALIZED SECOND-ORDER THREE-POINT BOUNDARY-VALUE PROBLEM ON TIME SCALES
被引:0
|作者:
Luo, Hua
[1
]
Ma, Qiaozhen
[1
]
机构:
[1] Northwest Normal Univ, Coll Math & Informat Sci, Lanzhou 730070, Gansu, Peoples R China
关键词:
Time scales;
three-point boundary value problems;
cone;
fixed points;
positive solutions;
D O I:
暂无
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
Let T be a time scale with 0, T epsilon T. We investigate the existence and multiplicity of positive solutions to the nonlinear second- order three- point boundary- value problem u(Delta del)(t) + a(t) f(u(t)) = 0, t epsilon [0, T] subset of T, u(0) = beta u(n) , u(T) = alpha u(n) on time scales T, where 0 < n < T, 0 < alpha < T/n, 0 < beta < T-alpha eta/T-eta are given constants.
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页数:14
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