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Solvability of a third-order two-point boundary value problem. (English) Zbl 1094.34506
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 (*).

MSC:
34B15Nonlinear boundary value problems for ODE
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References:
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