Geodesic
A New Comparison Theorem and the Solvability of a Third-Order Two-Point Boundary Value Problem
Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 3 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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A new comparison theorem is proved and then used to investigate the solvability of a third-order two-point boundary value problem \begin{equation*} \left \{\begin{array}{lll} u'''(t)+f(t,u(t),u'(t),u''(t))=0, \\u(0)=u'(2\pi)=0,\\ u''(0)=u''(2\pi). \end{array} \right. \end{equation*} Some existence results are established for this problem via upper and lower solutions method and fixed point theory.
Classification : 34B15, 34C05. 
@article{BMMS_2011_34_3_a1,
     author = {Yuqiang Feng and Guangjun Qu},
     title = {A {New} {Comparison} {Theorem} and the {Solvability} of a {Third-Order} {Two-Point} {Boundary} {Value} {Problem}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2011},
     volume = {34},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2011_34_3_a1/}
}
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%A Guangjun Qu
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%J Bulletin of the Malaysian Mathematical Society
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%F BMMS_2011_34_3_a1
Yuqiang Feng; Guangjun Qu. A New Comparison Theorem and the Solvability of a Third-Order Two-Point Boundary Value Problem. Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2011_34_3_a1/