Displaying similar documents to “Method of lower and upper solutions for a third-order three-point regular boundary value problem”

On some three-point problems for third-order differential equations

Irena Rachůnková (1992)

Mathematica Bohemica

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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 ≤ c ≤ 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.