Existence of positive solutions for boundary value problems of second-order systems with nonlinear boundary conditions(带非线性边界条件的二阶奇异微分系统正解的存在性)
研究了带非线性边界条件的二阶奇异微分系统边值问题正解的存在性,其中u = (u1,u2,⋯,un)T,G (t)= diag [ g1 (t),g2 (t),⋯,gn (t) ],且gi (t)(i = 1,2,⋯,n) 在t = 0 处允许有奇性 F (u)= (f1 (u),f2 (u),⋯,fn (u))T,C = diag(c1,c2,⋯,cn),Λ = diag(λ1,λ2,⋯,λn),λi(i = 1,2,⋯,n)为正参数。在非线性项F分别满足超线性、次线性和渐近线性的增长条件下,运用锥拉伸与压缩不动点定理获得了该问题正解的存在性结论。...
Main Authors: | MAMantang(马满堂), JIAKaijun(贾凯军) |
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Format: | Article |
Language: | zho |
Published: |
Zhejiang University Press
2019-11-01
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Series: | Zhejiang Daxue xuebao. Lixue ban |
Subjects: | |
Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2019.06.008 |
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