Opuscula Mathematica
Opuscula Math. 39, no. 1 (2019), 61-75

On the convergence of solutions to second-order neutral difference equations

Małgorzata Migda
Janusz Migda
Małgorzata Zdanowicz
Abstract. A second-order nonlinear neutral difference equation with a quasi-difference is studied. Sufficient conditions are established under which for every real constant there exists a solution of the considered equation convergent to this constant.
Keywords: second-order difference equation, asymptotic behavior, quasi-differences, Krasnoselskii's fixed point theorem.
Mathematics Subject Classification: 39A10, 39A22, 39A30.
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About the authors ▼
Małgorzata Migda
https://orcid.org/0000-0003-3188-1173
Poznań University of Technology, Piotrowo 3A, 60-965 Poznań, Poland
Janusz Migda
https://orcid.org/0000-0002-0855-6180
A. Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland
Małgorzata Zdanowicz
https://orcid.org/0000-0001-6951-5721
University of Bialystok, Ciołkowskiego 1M, 15-245 Białystok, Poland
About the article ▼
Communicated by Marek Galewski.
Received: 2017-12-13.
Revised: 2018-04-15.
Accepted: 2018-06-07.
Published online: 2018-08-07.
Cite this article as ▼
Małgorzata Migda, Janusz Migda, Małgorzata Zdanowicz, On the convergence of solutions to second-order neutral difference equations, Opuscula Math. 39, no. 1 (2019), 61-75, https://doi.org/10.7494/OpMath.2019.39.1.61.
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