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Zbl 1094.34506
Feng, Yuqiang; Liu, Sanyang
Solvability of a third-order two-point boundary value problem.
(English)
[J] Appl. Math. Lett. 18, No. 9, 1034-1040 (2005). ISSN 0893-9659

Consider the third-order two-point boundary value problem $$u'''(t)+f(t,u(t))=0,\quad 0\le t\le 1,\quad u(0)=u'(0)=u'(1)=0.\tag*$$ By means of a new maximum principle and the lower and upper solution technique, the authors prove the existence of at least one solution to problem (*).
[Klaus R. Schneider (Berlin)]
MSC 2000:
*34B15 Nonlinear boundary value problems of ODE

Keywords: third-order ordinary differential equation; upper and lower solutions method; maximum principle; existence

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