Periodic Solutions

Youssef N. Raffoul
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Youssef N. Raffoul: University of Dayton, Department of Mathematics

Chapter Chapter 4 in Qualitative Theory of Volterra Difference Equations, 2018, pp 163-227 from Springer

Abstract: Abstract This chapter is devoted to the study of periodic solutions Periodic solutions of functional difference systems with finite and infinite delay. We will obtain different results concerning Volterra Volterra difference equation difference equations with finite and infinite delays, using fixed point Fixed point theory. Fixed point Fixed point theory will enable us to obtain results concerning stability, classification of solutions, existence of positive solutions, and the existence of periodic Periodic solutions solutions and positive periodic solutions. In the analysis, we make use of Schaefer fixed point Fixed point theorem, [159], Krasnoselskii’s fixed point Fixed point theorem, [97], and Schauder fixed point Fixed point theorem.

Date: 2018
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DOI: 10.1007/978-3-319-97190-2_4

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