Positive Periodic Solutions in Shifts for a Class of Higher-Dimensional Functional Dynamic Equations with Impulses on Time Scales

Meng Hu, Lili Wang and Zhigang Wang

Abstract and Applied Analysis, 2014, vol. 2014, 1-11

Abstract:

Let be a periodic time scale in shifts with period and is nonnegative and fixed. By using a multiple fixed point theorem in cones, some criteria are established for the existence and multiplicity of positive solutions in shifts for a class of higher-dimensional functional dynamic equations with impulses on time scales of the following form: where is a nonsingular matrix with continuous real-valued functions as its elements. Finally, numerical examples are presented to illustrate the feasibility and effectiveness of the results.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:509052

DOI: 10.1155/2014/509052

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