positive solutions to a second order multi-point boundary-value problem
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2000
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Abstract
We prove the existence of positive solutions to the boundary-value problem $$ displaylines{ u''+lambda a(t)f(u,u')=0 cr u(0)=0,quad u(1)=sum^{m-2}_{i=1} a_i u(xi_i) ,, }$$ where $a$ is a continuous function that may change sign on $[0,1]$, $f$ is a continuous function with $f(0,0)>0$, and $lambda$ is a samll positive constant. For finding solutions we use the Leray-Schauder fixed point theorem.
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| Authors | ;Daomin Cao;Ruyun Ma |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2000 |
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