Existence of solutions for a class of third-order two-point boundary value problems(一类三阶两点边值问题解的存在性)

In this paper, we consider the boundary value problems of third-order nonlinear ordinary differential equation u'''t=f(t,u(t),u'(t),u''(t)),  a.e. 0<t<1,u0=u'0=u'1=0,where  f:[0，1]×R3→R satisfies Carathéodory conditions. Under some suitable growth conditions on f, we show that the above problem has...

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Detalhes bibliográficos

Principais autores:	王丽媛(WANG Liyuan), 马如云(MA Ruyun)
Formato:	Artigo
Idioma:	Chinês
Publicado em:	Zhejiang University Press 2024-05-01
coleção:	Zhejiang Daxue xuebao. Lixue ban
Assuntos:	third-order ordinary differential equation(三阶常微分方程) boundary value problem(边值问题) leray-schauder fixed point theorem(leray-schauder不动点定理) existence(存在性)
Acesso em linha:	https://doi.org/10.3785/j.issn.1008-9497.2024.03.003
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