Displaying similar documents to “Two-dimensional stable Lavrentiev phenomenon with and without boundary conditions”

On the existence of multiple solutions for a nonlocal BVP with vector-valued response

Andrzej Nowakowski, Aleksandra Orpel (2006)

Czechoslovak Mathematical Journal

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The existence of positive solutions for a nonlocal boundary-value problem with vector-valued response is investigated. We develop duality and variational principles for this problem. Our variational approach enables us to approximate solutions and give a measure of a duality gap between the primal and dual functional for minimizing sequences.

Existence of nonzero solutions for a class of damped vibration problems with impulsive effects

Liang Bai, Binxiang Dai (2014)

Applications of Mathematics

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In this paper, a class of damped vibration problems with impulsive effects is considered. An existence result is obtained by using the variational method and the critical point theorem due to Brezis and Nirenberg. The obtained result is also valid and new for the corresponding second-order impulsive Hamiltonian system. Finally, an example is presented to illustrate the feasibility and effectiveness of the result.