Open AccessQUALITATIVE THEORY OF PARTIAL DIFFERENCE EQUATIONS (III): FORCED OSCILLATIONS OF PARABOLIC TYPE PARTIAL DIFFERENCE EQUATIONS
Author(s) -
Sui Sun Cheng,
Shengli Xie,
Binggen Zhang
Publication year - 1995
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.26.1995.4395
Subject(s) - mathematics , oscillation (cell signaling) , parabolic partial differential equation , type (biology) , forcing (mathematics) , mathematical analysis , term (time) , variable (mathematics) , partial differential equation , physics , ecology , genetics , quantum mechanics , biology
Parabolic type partial difference equations with a forcing term is stud- ied in this paper. By means of three averaging techniques, the problem of oscillation of these equations is reduced to that of recurrence relations in one variable. Avariety of oscillation criteria is given for these recurrence relations which in turn yield oscillation criteria for the partial difference equations.