<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">AI-LING SHI</style></author><author><style face="normal" font="default" size="100%">HAI-E ZHANG</style></author><author><style face="normal" font="default" size="100%">JIAN-PING SUN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SINGULAR THIRD-ORDER m-POINT BOUNDARY VALUE PROBLEMS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B10</style></keyword><keyword><style  face="normal" font="default" size="100%">34B16</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/3/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;This paper is concerned with the following third-order m-point boundary value problem $${ \left\{ \begin{array} \ u′′′(t)=f(t, u (t), u′(t), u′′(t))+ e (t), \ 0 &amp;lt; t &amp;lt; 1, \\ u(0) = \sum_{i=1}^{m−2} k_iu (ξ_i), u′ (0) = u′(1) = 0, \end{array} \right.&amp;nbsp;}$$ where ${ f : (0, 1) × R^3 → R }$ is a function satisfying Carathéodory’s conditions, ${ e:(0, 1) → R \ and \ t(1 − t) e (t) ∈ L^1 [0, 1], 0 &amp;lt; ξ_1 &amp;lt; ξ_2 &amp;lt; · · · &amp;lt; ξ_{m−2} &amp;lt; 1, k_i ∈ R (i = 1, 2, . . . , m − 2) \ and }$ ${ \sum_{i=1}^{m−2} k_i \neq 1.}$ Some existence criteria of at least one solution are established by using the well-known Leray-Schauder Continuation Principle.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">353</style></section></record></records></xml>