Displaying similar documents to “On the correct solvability of the boundary-value problem for one class operator-differential equations of the fourth order with complex characteristics.”

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.

Results on Non-resonant Oscillations for some Nonlinear Vector Fourth Order Differential Systems

Awar Simon Ukpera, Olufemi Adeyinka Adesina (2012)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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This paper presents vector versions of some existence results recently published for certain fourth order differential systems based on generalisations drawn from possibilities arising from the underlying auxiliary equation. The results obtained also extend some known works involving third order differential systems to the corresponding fourth order.