THE SOLUTION MATCHING BY LIAPUNOV THEORY OF BVPS WITH ODD GAPS IN BOUNDARY CONDITIONS FOR nTH ORDER DIFFERENTIAL EQUATIONS

TitleTHE SOLUTION MATCHING BY LIAPUNOV THEORY OF BVPS WITH ODD GAPS IN BOUNDARY CONDITIONS FOR nTH ORDER DIFFERENTIAL EQUATIONS
Publication TypeJournal Article
Year of Publication2015
AuthorsLIU, XUEYAN
Volume19
Issue4
Start Page579
Pagination10
Date Published2015
ISSN1083-2564
AMS34B10, 34B15
Abstract

We are concerned with the existence and uniqueness of solutions to boundary value problems on an interval [a, c] for the nth order ordinary differential equation ${ y^{(n)} = f(x, y, y′ , . . . , y^{(n−1)}), }$ for ${n ≥ 3,}$ by matching solutions on [a, b] with solutions on [b, c] to extend the interval of existence for solutions. In this paper, we consider a general case where the gap in boundary conditions at b is odd. Different from the literature, we use Liapunov theory to deal with the case

URLhttp://www.acadsol.eu/en/articles/19/4/9.pdf
Refereed DesignationRefereed
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