An Almost Periodic Lasota-Wazewska Dynamic Model on Time Scales
Journal Title: Earthline Journal of Mathematical Sciences - Year 2019, Vol 1, Issue 1
Abstract
This paper deals with almost periodicity of Lasota-Wazewska dynamic equation on time scales. By applying a method based on the fixed point theorem of decreasing operator, we establish sufficient conditions for the existence of a unique almost periodic positive solution. We also give iterative sequence which converges to almost periodic positive solution. Moreover, we investigate the exponential stability of almost periodic solution by means of Gronwall inequality. Our study unifies differential and difference equations.
Authors and Affiliations
Zhijian Yao
Keywords
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- EP ID EP463330
- DOI 10.34198/ejms.1119.1732
- Views 265
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