Analysis of periodic solutions for nonlinear coupled integro-differential systems with variable delays

Bouzid Mansouri; Abdelouaheb Ardjouni; Ahcene Djoudi

Commentationes Mathematicae Universitatis Carolinae (2022)

  • Volume: 62 63, Issue: 1, page 51-68
  • ISSN: 0010-2628

Abstract

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The objective of this work is the application of Krasnosel'skii's fixed point technique to prove the existence of periodic solutions of a system of coupled nonlinear integro-differential equations with variable delays. An example is given to illustrate this work.

How to cite

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Mansouri, Bouzid, Ardjouni, Abdelouaheb, and Djoudi, Ahcene. "Analysis of periodic solutions for nonlinear coupled integro-differential systems with variable delays." Commentationes Mathematicae Universitatis Carolinae 62 63.1 (2022): 51-68. <http://eudml.org/doc/299275>.

@article{Mansouri2022,
abstract = {The objective of this work is the application of Krasnosel'skii's fixed point technique to prove the existence of periodic solutions of a system of coupled nonlinear integro-differential equations with variable delays. An example is given to illustrate this work.},
author = {Mansouri, Bouzid, Ardjouni, Abdelouaheb, Djoudi, Ahcene},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {integro-differential equation; periodic solution; Krasnosel'skii's fixed point theorem},
language = {eng},
number = {1},
pages = {51-68},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Analysis of periodic solutions for nonlinear coupled integro-differential systems with variable delays},
url = {http://eudml.org/doc/299275},
volume = {62 63},
year = {2022},
}

TY - JOUR
AU - Mansouri, Bouzid
AU - Ardjouni, Abdelouaheb
AU - Djoudi, Ahcene
TI - Analysis of periodic solutions for nonlinear coupled integro-differential systems with variable delays
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2022
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 62 63
IS - 1
SP - 51
EP - 68
AB - The objective of this work is the application of Krasnosel'skii's fixed point technique to prove the existence of periodic solutions of a system of coupled nonlinear integro-differential equations with variable delays. An example is given to illustrate this work.
LA - eng
KW - integro-differential equation; periodic solution; Krasnosel'skii's fixed point theorem
UR - http://eudml.org/doc/299275
ER -

References

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  9. Liu Y., Ge W., Positive periodic solutions of nonlinear Duffing equations with delay and variable coefficients, Tamsui Oxf. J. Math. Sci. 20 (2004), no. 2, 235–255. MR2108843
  10. Mansouri B., Ardjouni A., Djoudi A., Existence of positive periodic solutions for two types of third-order nonlinear neutral differential equations with variable coefficients, Differ. Uravn. Protsessy Upr. 3 (2018), no. 3, 46–63. MR3866279
  11. Raffoul Y., 10.3906/mat-1611-123, Turkish. J. Math. 42 (2018), no. 1, 108–120. MR3762750DOI10.3906/mat-1611-123
  12. Raffoul Y. N., Periodic solutions for neutral nonlinear differential equations with functional delay, Electron. J. Differential Equations 2003 (2003), no. 102, 7 pages. MR2011575
  13. Smart D. R., Fixed Point Theorems, Cambridge Tracts in Mathematics, 66, Cambridge University Press, London, 1974. Zbl0427.47036MR0467717
  14. Wang Y., Lian H., Ge W., 10.1016/j.aml.2006.02.028, Appl. Math. Lett. 20 (2007), no. 1, 110–115. MR2273618DOI10.1016/j.aml.2006.02.028

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