Open AccessQUALITATIVE THEORY OF PARTIAL DIFFERENCE EQUATIONS (I): OSCILLATION OF NONLINEAR PARTIAL DIFFERENCE EQUATIONS
Author(s) -
Sui Sun Cheng,
Binggen Zhang
Publication year - 1994
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.25.1994.4455
Subject(s) - mathematics , oscillation (cell signaling) , nonlinear system , class (philosophy) , mathematical analysis , partial differential equation , oscillation theory , method of characteristics , physics , computer science , genetics , quantum mechanics , biology , exact differential equation , artificial intelligence
This paper is concerned with a class of nonlinear partial difference equations with delay. By means of an averaging technique, and several oscillation criteria for ordinary recurrence relations, we are able to establish several oscillation criteria for the partial difference equations.