Almost periodic solutions for a nonlinear integro-differential equation with neutral delay

Volume 9, Issue 6, pp 4500--4508 http://dx.doi.org/10.22436/jnsa.009.06.88

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Authors

Qiu-Feng Zou - College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, P. R. China. Hui-Sheng Ding - College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, P. R. China.

Abstract

This paper is concerned with the existence of almost periodic and pseudo almost solutions for a nonlinear integro-differential equation with neutral delay, which arise in epidemic problems. By using almost periodic functions theory and fixed point theory, we obtain the results. Two examples are given to illustrate our results. In addition, an application to nonautonomous differential equations is also given.

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Keywords

• Almost periodic
• pseudo almost periodic
• integro-differential
• neutral delay.

MSC

•  45G10
•  34K14

References

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