An existence theorem for a third-order three-point boundary value problem without growth restrictions

Martin Šenkyřík

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Displaying similar documents to “An existence theorem for a third-order three-point boundary value problem without growth restrictions”

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This paper is concerned with existence and uniqueness of solutions of the three-point problem $u^{'''} = f (t, u, u^{'}, u^{''}), u (c) = 0, u^{'} (a) = u^{'} (b) . u^{''} (a) = u^{''} (b), a \leq c \leq b$ . The problem is at resonance, in the sense that the associated linear problem has non-trivial solutions. We use the method of lower and upper solutions.

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