Positive periodic solution for a nonlinear neutral delay population equation with feedback control

Volume 7, Issue 3, pp 218--228 http://dx.doi.org/10.22436/jnsa.007.03.08

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Authors

Payam Nasertayoob - Department of Mathematics, Amirkabir University of Technology (Polytechnic), Hafez Ave., P. O. Box 15914, Tehran, Iran. S. Mansour Vaezpour - Department of Mathematics, Amirkabir University of Technology (Polytechnic), Hafez Ave., P. O. Box 15914, Tehran, Iran.

Abstract

In this paper, sufficient conditions are investigated for the existence of positive periodic solution for a nonlinear neutral delay population system with feedback control. The proof is based on the fixed-point theorem of strict-set-contraction operators. We also present an example of nonlinear neutral delay population system with feedback control to show the validity of conditions and efficiency of our results.

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Keywords

• Fixed point theory
• neutral nonlinear equation
• feedback control
• strict-set-contraction.

MSC

•  34K40
•  92D25
•  47H10

References

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