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math.CA2013
On the discontinuous second-order deviated Dirichlet problem with non-monotone conditions
Rubén Figueroa
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…
math.CA2011
Discontinuous functional differential equations with delayed or advanced arguments
Rubén Figueroa
We provide new results on the existence of extremal solutions for discontinuous differential equations with a deviated argument which can be either delayed or advanced. The boundar…
math.CA2011
Coupled fixed points of multivalued operators and first--order ODEs with state--dependent deviating arguments
Rubén Figueroa, Rodrigo López Pouso
We establish a coupled fixed points theorem for a meaningful class of mixed monotone multivalued operators and then we use it to derive some results on existence of quasisolutions…