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In this paper, we study the first order nonlinear neutral difference equation:Δ(x(n)+px(n-Τ))+f(n,x(n-c),x(n-d))=r(n), n≥n_0.
Using the Banach fixed point theorem, we prove the existence of bounded positive solutions of the equation, suggest Mann iterative schemes of bounded positive solutions, and discuss the error estimates between bounded positive solutions and sequences generated by Mann iterative schemes.
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참고문헌 (4)
참고문헌 신청
B. G. Zhang / 1996 / The existence of oscillatory and nonoscillatory solution of neutral difference equation / Chinese J. Math. 24 : 377 ~ 393
B. S. Lalli / 1992 / On existence of positive solutions and bounded oscillations for neutral difference equations / J. Math. Anal. Appl. 166 : 272 ~ 287
M. P. Chen / 1994 / Oscillation and comparison theorems of difference equations with positive and negative coefficients / Bull. Inst. Math. Acad. Sin. (N.S.) 22 : 295 ~ 306
R. P. Agarwal / 2000 / Difference Equations and Inequalities, Second Edition / Marcel Dekker
B. S. Lalli / 1992 / On existence of positive solutions and bounded oscillations for neutral difference equations / J. Math. Anal. Appl. 166 : 272 ~ 287
M. P. Chen / 1994 / Oscillation and comparison theorems of difference equations with positive and negative coefficients / Bull. Inst. Math. Acad. Sin. (N.S.) 22 : 295 ~ 306
R. P. Agarwal / 2000 / Difference Equations and Inequalities, Second Edition / Marcel Dekker
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