Displaying similar documents to “On exact solutions of a class of interval boundary value problems”

A new approach for solving nonlinear BVP's on the half-line for second order equations and applications

Serena Matucci (2015)

Mathematica Bohemica

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We present a new approach to solving boundary value problems on noncompact intervals for second order differential equations in case of nonlocal conditions. Then we apply it to some problems in which an initial condition, an asymptotic condition and a global condition is present. The abstract method is based on the solvability of two auxiliary boundary value problems on compact and on noncompact intervals, and uses some continuity arguments and analysis in the phase space. As shown in...

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.