Displaying similar documents to “Existence and asymptotic behavior of solutions for weighted p ( t ) -Laplacian system multipoint boundary value problems in half line.”

Periodic solutions for some nonautonomous p ( t ) -Laplacian Hamiltonian systems

Liang Zhang, X. H. Tang (2013)

Applications of Mathematics

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In this paper, we deal with the existence of periodic solutions of the p ( t ) -Laplacian Hamiltonian system d d t ( | u ˙ ( t ) | p ( t ) - 2 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 using the least action principle and minimax methods in critical point theory, and our results generalize and improve some existence theorems.

Structure of approximate solutions of variational problems with extended-valued convex integrands

Alexander J. Zaslavski (2009)

ESAIM: Control, Optimisation and Calculus of Variations

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In this work we study the structure of approximate solutions of autonomous variational problems with a lower semicontinuous strictly convex integrand f : R n × R n R 1 { } , where R n is the n -dimensional euclidean space. We obtain a full description of the structure of the approximate solutions which is independent of the length of the interval, for all sufficiently large intervals.