On fourth‐order boundary value problem with singular data | Zendy

Drábek Pavel | Zendy; Langerová Martina | Zendy

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On fourth‐order boundary value problem with singular data

Author(s) -

Drábek Pavel,

Langerová Martina

Publication year - 2020

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.6264

Subject(s) - mathematics , boundary value problem , dirac delta function , order (exchange) , mathematical analysis , dirac (video compression format) , function (biology) , distribution (mathematics) , value (mathematics) , singular value , statistics , eigenvalues and eigenvectors , physics , finance , evolutionary biology , nuclear physics , neutrino , economics , biology , quantum mechanics

We consider a simply supported beam with restoring and external forces given as a sum of a continuous function and a Dirac delta distribution. We present sufficient conditions on these data in order to guarantee a unique positive or negative solution, respectively.

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