Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
Boundary value problems for higher order nonlinear ordinary differential systems
Shumei MIAO
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1993 年 45 巻 2 号 p. 259-269

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In this paper we study two-point boundary value problems for systems of nonlinear differential equations of order greater than or equal to two. So far the results concerning this class of problems are rare. A new Nagumo condition for systems of higher order differential equations is presented, which is more convenient for applications. Under this new Nagumo condition some existence theorems of solutions for these boundary value problems are proved.
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