On the discontinuous second‐order deviated Dirichlet problem with non‐monotone conditions | Zendy

Figueroa Rubén | Zendy

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

Author(s) -

Figueroa Rubén

Publication year - 2015

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.201300172

Subject(s) - mathematics , monotone polygon , dirichlet distribution , novelty , order (exchange) , nonlinear system , generalized dirichlet distribution , strongly monotone , dirichlet problem , dirichlet's principle , mathematical analysis , pure mathematics , boundary value problem , geometry , philosophy , physics , theology , finance , quantum mechanics , economics

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.

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