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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.