English

On the discontinuous second-order deviated Dirichlet problem with non-monotone conditions

Classical Analysis and ODEs 2013-01-21 v1

Abstract

We provide a new result on the existence of extremal solutions for second-order Dirichlet problems with deviation argument. As a novelty in this work, the nonlinearity need not be continuous or monotone. In order to obtain this new result, we use a generalized monotone method coupled with lower and upper solutions.

Keywords

Cite

@article{arxiv.1301.4342,
  title  = {On the discontinuous second-order deviated Dirichlet problem with non-monotone conditions},
  author = {Rubén Figueroa},
  journal= {arXiv preprint arXiv:1301.4342},
  year   = {2013}
}

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Submitted for publication

R2 v1 2026-06-21T23:11:41.821Z