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- W2047056613 abstract "In this paper we consider the first order difference equation Δx n = ∑ i = 0 ∞ a i n f x n + i + ∑ i = 0 ∞ b i n g x n + i + y n and the second order difference equation Δ q n Δ x n + r n f x n + s n g x n + z n = 0, where f is a Lipschitz mapping and g is a compact operator, both defined on a Banach space X . We give sufficient conditions so that there exist solutions which are asymptotically constant. These results generalize those given by A. Drozdowicz and J. Popenda (1987, Proc. Amer. Math. Soc. 99 , 135–140), J. Popenda and E. Schmeidel (1994, Publ. Mat. 38 , 3–9; 1997, Indian J. Pure Appl. Math. 28 , 319–327), and E. Schmeidel (1997, Demonstratio Math. 30 , 193–197; 1997; Comm. Appl. Nonlinear Anal. 4 , 87–92)." @default.
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- W2047056613 date "2000-07-01" @default.
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- W2047056613 title "An Application of Krasnoselskii Fixed Point Theorem to the Asymptotic Behavior of Solutions of Difference Equations in Banach Spaces" @default.
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- W2047056613 doi "https://doi.org/10.1006/jmaa.2000.6877" @default.
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