Open AccessOSCILLATIONS OF SOLUTIONS TO PARABOLIC EQUATIONS WITH DEVIATING ARGUMENTS
Author(s) -
Satoshi Tanaka,
Norio Yoshida
Publication year - 1997
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.28.1997.4246
Subject(s) - mathematics , mathematical analysis , boundary value problem , nonlinear system , parabolic partial differential equation , type (biology) , arc (geometry) , partial differential equation , boundary (topology) , geometry , physics , ecology , quantum mechanics , biology
Nonlinear parabolic equations with deviating arguments arc studied and sufficient conditions are derived for every solution of boundary value problems to be oscillatory in a cylindrical domam. Two kinds of boundary conditions are considered. Our approach is to reduce the multi-dimensional problem to a one-dimensional problem for differential inequalities of neutral type.