Positive and monotone solutions of an m-point boundary-value problem

We study the second-order ordinary differential equation $$ y''(t)=-f(t,y(t),y'(t)),quad 0leq tleq 1, $$ subject to the multi-point boundary conditions $$ alpha y(0)pm eta y'(0)=0,quad y(1)=sum_{i=1}^{m-2}alpha_iy(xi_i),. $$ We prove the existence of a positive solution (and mono...

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Detaylı Bibliyografya
Yazar: Panos K. Palamides
Materyal Türü: Artigo
Dil:Inglês
Baskı/Yayın Bilgisi: Texas State University 2002-02-01
Seri Bilgileri:Electronic Journal of Differential Equations
Konular:
multipoint boundary value problems
positive monotone solution
vector field
sublinear
superlinear
Kneser's property
solution's funel.
Online Erişim:http://ejde.math.txstate.edu/Volumes/2002/18/abstr.html
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