Displaying similar documents to “Variational approach to impulsive differential equations with Dirichlet boundary conditions.”

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.

Positive and maximal positive solutions of singular mixed boundary value problem

Ravi Agarwal, Donal O’Regan, Svatoslav Staněk (2009)

Open Mathematics

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The paper is concerned with existence results for positive solutions and maximal positive solutions of singular mixed boundary value problems. Nonlinearities h(t;x;y) in differential equations admit a time singularity at t=0 and/or at t=T and a strong singularity at x=0.