QUALITATIVE THEORY OF PARTIAL DIFFERENCE EQUATIONS (V): STURMIAN THEOREMS FOR A CLASS OF PARTIAL DIFFERENCE EQUATIONS

Main Article Content

SUI SUN CHENG
SHENG-LI XIE
BING GEN ZHANG

Abstract




This paper is concerned with Sturmian theorems for a class of partial difference equations. These results are obtianed by means of averaging techniques, variational inequalities and comparison theorems.




Article Details

How to Cite
CHENG, S. S., XIE, S.-L., & ZHANG, B. G. (1996). QUALITATIVE THEORY OF PARTIAL DIFFERENCE EQUATIONS (V): STURMIAN THEOREMS FOR A CLASS OF PARTIAL DIFFERENCE EQUATIONS. Tamkang Journal of Mathematics, 27(1), 89–97. https://doi.org/10.5556/j.tkjm.27.1996.4366
Section
Papers

References

S. S. Cheng and R. F. Lu, "Discrete Wirtinger's inequalities and conditions for partial difference equations," Fasciculi Math., 23(1991), 9-24.

S. S. Cheng and B. G. Zhang, "Qualitative theory of partial difference equations (I) : Oscillation criteria of nonlinear partial difference equations," Tamkang J. Math., 25(1994), 279-288.

S. S. Cheng, S. L. Xie and B. G. Zhang, "Qualitative theory of partial difference equations (II) : Oscillation criteria for direct control systems in several variables," Tamkang J. Math., 26(1995), pp.65-79.

S. S. Cheng, S. L. Xie and B. G. Zhang, "Qualitative theory of partial difference equations (III) : Forced oscillations of parabolic type partial difference equations," Tamkang J. Math., 26(1995), pp.177-192.

S. S. Cheng, S. L. Xie and B. G. Zhang, "Qualtative theory of partial difference equations (IV): Forced oscillations of hyperbolic type nonlinear partial difference equations," Tamkang J. Math., 26(1995), pp.337-360.

S. S. Cheng, T. C. Yan and H. J. Li, "Oscillation criteria for second order difference equations," Funkcialaj Ekvacioj, 34(1991), 223-239

W. G. Kelly and A. Peterson, Difference Equations, Academic Press, 1991.

W. Leighton, "Comparison theorems for linear differential equations of second order," Proc. Amer Math. Soc., 13(1962), 603-610.