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On the well posed solutions for nonlinear second order neutral difference equations

  • Marek Galewski EMAIL logo and Ewa Schmeidel
Published/Copyright: November 3, 2016
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 66 Issue 4

Abstract

In this work we investigate the existence of solutions, their uniqueness and finally dependence on parameters for solutions of second order neutral nonlinear difference equations. The main tool which we apply is Darbo fixed point theorem.

Keywords: difference equation; Darbo fixed point theorem; Emden–Fowler equation; Lyapunov type stability; Hadamard well posedness
MSC 2010: Primary 39A10; 39A12; Secondary 39A30

(Communicated by Michal Fečkan)

Acknowledgement

The Authors would like to thank anonymous Referees for suggestions which helped to improve both the presentation and the quality of results contained in this paper.

References

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Received: 2013-7-3
Accepted: 2014-5-15
Published Online: 2016-11-3
Published in Print: 2016-8-1

© 2016 Mathematical Institute Slovak Academy of Sciences

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https://doi.org/10.1515/ms-2015-0193
Keywords for this article
difference equation; Darbo fixed point theorem; Emden–Fowler equation; Lyapunov type stability; Hadamard well posedness

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