NONEXISTENCE OF POSITIVE SOLUTIONS OF A NONLINEAR PARTIAL DIFFERENCE EQUATION

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Published: Mar 1, 1997
DOI: https://doi.org/10.5556/j.tkjm.28.1997.4334
Keywords:
Nonlinear partial difference equations characteristic equations positive solutions

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SHU-TANG LIU
Department of Mathematics, Bingzhou Normal College, Bingzhou, Shandong 256604, P. R. China.
SUI-SUN CHENG
Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30043, R. O.C.

Abstract




Necessary conditions are derived for the existence of positive solutions of a class of nonlinear partiai' difference equations. The technique used to derive these conditions is based on the nonexistence of positive roots of an associated characteristic equation.




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How to Cite
LIU, S.-T., & CHENG, S.-S. (1997). NONEXISTENCE OF POSITIVE SOLUTIONS OF A NONLINEAR PARTIAL DIFFERENCE EQUATION. Tamkang Journal of Mathematics, 28(1), 51–58. https://doi.org/10.5556/j.tkjm.28.1997.4334
Issue
Vol. 28 No. 1 (1997)
Section
Papers
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References

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B. G. Zhang and S. T. Liu, "Oscillation of partial difference equations," Pan American Math. J., 5(1995), 61-70.