Displaying similar documents to “The fixed point theorem and the boundedness of solutions of differential equations in the Banach space”

Differential equations at resonance

Donal O'Regan (1995)

Commentationes Mathematicae Universitatis Carolinae

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New existence results are presented for the two point singular “resonant” boundary value problem 1 p ( p y ' ) ' + r y + λ m q y = f ( t , y , p y ' ) a.eȯn [ 0 , 1 ] with y satisfying Sturm Liouville or Periodic boundary conditions. Here λ m is the ( m + 1 ) s t eigenvalue of 1 p q [ ( p u ' ) ' + r p u ] + λ u = 0 a.eȯn [ 0 , 1 ] with u satisfying Sturm Liouville or Periodic boundary data.