Open AccessMULTIPLE SOLUTIONS OF NONLINEAR BOUNDARY VALUE PROBLEMS WITH OSCILLATORY SOLUTIONS
Author(s) -
S. Ogorodnikova,
Felix Sadyrbaev
Publication year - 2006
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2006.9637328
Subject(s) - mathematics , boundary value problem , dirichlet boundary condition , dirichlet distribution , mathematical analysis , nonlinear system , dirichlet problem , mixed boundary condition , value (mathematics) , elliptic boundary value problem , physics , statistics , quantum mechanics
We consider two second order autonomous differential equations with critical points, which allow the detection of an exact number of solutions to the Dirichlet boundary value problem. Non‐autonomous equations with similar behaviour of solutions also are considered. Estimations from below of the number of solutions to the Dirichlet boundary value problem are given.