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Positive Solutions and Mann Iterative Algorithms for a Second-Order Nonlinear Difference Equation
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نویسنده
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liu z. ,li x. ,kang s.m. ,kwun y.c.
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منبع
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journal of function spaces - 2016 - دوره : 2016 - شماره : 0
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چکیده
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This paper deals with the second-order nonlinear neutral delay difference equation δ(anh(xn-τ1n,xn-τ2n,.,xn-τmn)δ(xn-qnxn-τ0))+f(n,xn-σ1n,xn-σ2n,.,xn-σkn)=bn,n≥n0. using the banach fixed point theorem,mann iterative method with errors,and some new techniques,we prove the existence of uncountably many positive solutions and the convergence of the sequences generated by the mann iterative method with errors relative to these solutions for the above equation. six examples are included. our results extend and improve essentially the known results in this field. © 2016 zeqing liu et al.
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آدرس
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department of mathematics,liaoning normal university,dalian,liaoning, China, suizhong no. 1 senior high school,huludao,liaoning, China, department of mathematics and rins,gyeongsang national university,jinju, South Korea, department of mathematics,dong-a university,busan, South Korea
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Authors
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