Open AccessQUALITATIVE THEORY OF PARTIAL DIFFERENCE EQUATIONS (IV): FORCED OSCILLATIONS OF HYPERBOLIC TYPE NONLINEAR PARTIAL DIFFERENCE EQUATIONS
Author(s) -
Sui Sun Cheng,
Bing Gen Zhang,
Shengli Xie
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.26.1995.4414
Subject(s) - mathematics , hyperbolic partial differential equation , nonlinear system , mathematical analysis , oscillation (cell signaling) , boundary value problem , type (biology) , term (time) , variable (mathematics) , forcing (mathematics) , partial differential equation , physics , ecology , quantum mechanics , biology , genetics
Nonlinear hyperbolic type partial difference equations with a forcing term are studied in this paper. By means of two averaging techniques, the problems of oscillation of characteristic initial value problem and of initial boundary value problem are reduced to that of forced and/ or unforced recurrence relations in one variable. A variety of oscillation criteria is given for these relations which in turn yield oscillation criteria for the partial difference equations.