
AIMS Mathematics, 2020, 5(6): 73727386. doi: 10.3934/math.2020472.
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Positive periodic solution of firstorder neutral differential equation with infinite distributed delay and applications
School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China
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Keywords: neutral operator with infinite distributed delay; positive periodic solutions; Hematopoiesis model; Nicholson’s blowflies model
Citation: Zhibo Cheng, Lisha Lv, Jie Liu. Positive periodic solution of firstorder neutral differential equation with infinite distributed delay and applications. AIMS Mathematics, 2020, 5(6): 73727386. doi: 10.3934/math.2020472
References:
 1. L. Jiaowan, Y. Jiangshe, Existence and global attractivity stability of nonautonomous mathematical ecological equations, Acta Math. Sci., 41 (1998), 12731284.
 2. P. Weng, M. Liang, The existence and behavior of periodic solution of Hematopoiesis model, Math. Appl., 4 (1995), 434439.
 3. A. Wan, D. Jiang, Existence of positive periodic solutions for functional diffeential equations, Kyushu J. Math., 1 (2002), 193202.
 4. Y. Xin, H. Liu, Singularity problems to fourthorder Rayleigh equation with timedependent deviating argument, Adv. Difference Equ., 2018 (2018), 115.
 5. Y. Luo, W. Wang, J. Shen, Existence of positive periodic solutions for two kinds of neutral functional diffeential equations, Appl. Math. Lett., 21 (2008), 581587.
 6. W. Gurney, S. Blythe, R. Nisbet, Nicholson's blowfloes revisited, Nature, 7 (2001), 809820.
 7. Z. Li, X. Wang, Existence of positive periodic solutions for neutral functional differential equations, Electron. J. Differ. Eq., 34 (2006), 18.
 8. W. Joseph, H. So, J. Yu, Global attractivity and uniform persistence in Nicholson's blowflies, Differ. Equ. Dynam. Sys., 1 (1994), 1118.
 9. D. Jiang, J. Wei, Existence of positive periodic solutions for Volterra interdifferential equations, Acta Math. Sci., 21 (2002), 553560.
 10. Z. Cheng, F. Li, Positive periodic solutions for a kind of secondorder neutral differential equations with variable coefficient and delay, Mediterr. J. Math., 15 (2018), 134.
 11. Z. Cheng, Q. Yuan, Damped superlinear Duffing equation with strong singularity of repulsive type, J. Fix. Point Theory Appl., 22 (2020), 118.
 12. T. Candan, Existence of positive periodic solutions of first order neutral differential equations with variable coefficients, Appl. Math. Lett., 52 (2016), 142148.
 13. T. Candan, Existence of positive periodic solution of secondorder neutral differential equations, Turkish J. Math., 42 (2018), 797806.
 14. W. Cheung, J. Ren, W. Han, Positive periodic solution of secondorder neutral functional differential equations, Nonlinear Anal., 71 (2009), 39483955.
 15. W. Han, J. Ren, Some results on secondorder neutral functional differential equations with infinite distributed delay, Nonlinear Anal., 70 (2009), 13931406.
 16. L. Lv, Z. Cheng, Positive periodic solution to superlinear neutral differential equation with timedependent parameter, Appl. Math. Lett., 98 (2019), 271277.
 17. Y. Xin, H. Liu, Existence of periodic solution for fourthorder generalized neutral pLaplacian differential equation with attractive and repulsive singularities, J. Inequal. Appl., 2018 (2018), 259.
 18. B. Dhage, D. O'Regan, A fixed point theorem in Banach algebras with applications to functional intergral equations, Functional differential equations, 7 (2000), 259267.
 19. S. Gusarenko, A. Domoshnitskii, Asymptotic and oscillation properties of first order linear scalar functionaldifferentional equations, Differentsial Uravnenija, 25 (1989), 20902103.
 20. R. Agarwal, L. Berezansky, E. Braverman, A. Domoshnitsky, Nonoscillation Theory of Functional Differential Equations with Applications, Springer, New York, 2012.
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