Displaying similar documents to “Duality for multiobjective variational control and multiobjective fractional variational control problems with pseudoinvexity.”

On periodic solutions of non-autonomous second order Hamiltonian systems

Xingyong Zhang, Yinggao Zhou (2010)

Applications of Mathematics

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The purpose of this paper is to study the existence of periodic solutions for the non-autonomous second order Hamiltonian system u ¨ ( t ) = F ( t , u ( t ) ) , a.e. t [ 0 , T ] , u ( 0 ) - u ( T ) = u ˙ ( 0 ) - u ˙ ( T ) = 0 . Some new existence theorems are obtained by the least action principle.

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.