QUALITATIVE THEORY OF PARTIAL DIFFERENCE EQUATIONS (IV): FORCED OSCILLATIONS OF HYPERBOLIC TYPE NONLINEAR PARTIAL DIFFERENCE EQUATIONS

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Published: Dec 1, 1995
DOI: https://doi.org/10.5556/j.tkjm.26.1995.4414
Keywords:
Partial difference equations oscillation criteria characteristic initial value problem initial boundary value problem

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SUI SUN CHENG
Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan, 30043.
BING GEN ZHANG
Department of Mathematics, Ocean University of Qingdao, Qingdao, China 266003.
SHENG-LI XIE
Department of Automation, South China University of Technology, Guangzhou, China, 510641.

Abstract




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.




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How to Cite
CHENG, S. S., ZHANG, B. G., & XIE, S.-L. (1995). QUALITATIVE THEORY OF PARTIAL DIFFERENCE EQUATIONS (IV): FORCED OSCILLATIONS OF HYPERBOLIC TYPE NONLINEAR PARTIAL DIFFERENCE EQUATIONS. Tamkang Journal of Mathematics, 26(4), 337–360. https://doi.org/10.5556/j.tkjm.26.1995.4414
Issue
Vol. 26 No. 4 (1995)
Section
Papers
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