非线性项在零点非渐进增长的四阶边值问题单侧全局分歧(Unilateral global bifurcation for fourth-order boundary value problem with non-asymptotic nonlinearity at 0)
We present a Dancer-type unilateral global bifurcation result for a class of fourth-order two-point boundary value problem x""+kx" +lx = λh(t)x+g(t, x,λ),0<t<1,x(0) = x(1) =x'(0)=x'(1)=0. Under some natural hypotheses on the perturbation function g: (0,1) ×R2 →R, we sh...
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Format: | Article |
Language: | zho |
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Zhejiang University Press
2016-09-01
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Series: | Zhejiang Daxue xuebao. Lixue ban |
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Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2016.05.005 |