MATHEMATICA BOHEMICA, Vol. 126, No. 3, pp. 639-647, 2001

Existence of nonoscillatory solutions of a class of nonlinear difference equations with a forced term

B. G. Zhang, Y. J. Sun

B. G. Zhang, Y. J. Sun, Department of Applied Mathematics, Ocean University of Qingdao, Qingdao 266003, P. R. CHINA

Abstract: In this paper, necessary and sufficient conditions for the existence of nonoscillatory solutions of the forced nonlinear difference equation
\Delta(x_n-p_n x_{\tau(n)})+f(n,x_{\sigma(n)})=q_n
are obtained. Examples are included to illustrate the results.

Keywords: difference equations, nonlinear, forced term, nonoscillation

Classification (MSC 2000): 39A10

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