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On quadratically integrable solutions of the second order linear equation

T. Chantladze, Nodar Kandelaki, Alexander Lomtatidze (2001)

Archivum Mathematicum

Integral criteria are established for dim V i ( p ) = 0 and dim V i ( p ) = 1 , i { 0 , 1 } , where V i ( p ) is the space of solutions u of the equation u ' ' + p ( t ) u = 0 satisfying the condition + u 2 ( s ) s i d s < + .

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