Publication Cover
Applicable Analysis
An International Journal
Volume 101, 2022 - Issue 15
251
Views
7
CrossRef citations to date
0
Altmetric
Research Article

(ω ,c)-periodic solutions for time-varying non-instantaneous impulsive differential systems

, ORCID Icon, & ORCID Icon
Pages 5469-5489 | Received 17 Aug 2020, Accepted 12 Feb 2021, Published online: 03 Mar 2021

References

  • Hernández E, O'Regan D. On a new class of abstract impulsive differential equations. Proc Amer Math Soc. 2013;5:1641–1649.
  • Pierri M, O'Regan D, Rolnik V. Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses. Appl Math Comput. 2013;219:6743–6749.
  • Wang J. Stability of noninstantaneous impulsive evolution equations. Appl Math Lett. 2017;73:157–162.
  • Pierri M, Henrquez H, Prokczyk A. Global solutions for abstract differential equations with non-instantaneous impulses. Mediterr J Math. 2016;34:1685–1708.
  • Agarwal R, O'Regan D, Hristova S. Stability with initial time difference of caputo fractional differential equations by Lyapunov functions. Z Anal Anwend. 2017;36:49–77.
  • Yang D, Wang J. Non-instantaneous impulsive fractional-order implicit differential equations with random effects. Stoch Anal Appl. 2017;35:719–741.
  • Wang J, Fečkan M, Tian Y. Stability analysis for a general class of non-instantaneous impulsive differential equations. Mediter J Math. 2017;14:1–21.
  • Abbas S, Benchohra M. Uniqueness and Ulam stabilities results for partial fractional differential equations with not instantaneous impulses. Appl Math Comput. 2015;257:190–198.
  • Gautam G, Dabas J. Mild solutions for class of neutral fractional functional differential equations with not instantaneous impulses. Appl Math Comput. 2015;259:480–489.
  • Muslim M, Kumar A, Fečkan M. Existence uniqueness and stability of solutions to second order nonlinear differential equations with non-instantaneous impulses. J King Saud Univ. 2018;30:204–213.
  • Yang D, Wang J, O'Regan D. On the orbital hausdorff dependence of differential equations with non-instantaneous impulses. C R Acad Sci Paris Ser I.2018;356:150–171.
  • Wang J, Ibrahim A, O'Regan D, et al. Hilfer type fractional differential switched inclusions with noninstantaneous impulsive and nonlocal conditions. Nonlinear Anal Model Control. 2018;23:921–941.
  • Fečkan M, Wang J, Zhou Y. Existence of periodic solutions for nonlinear evolution equations with non-instantaneous impulses. Nonauton Dyn Syst. 2014;1:93–101.
  • Yang P, Yang J, M. Periodic nonautonomous differential equations with non-instantaneous impulsive effects. Math Method Appl Sci. 2019;42:3700–3720.
  • Alvarez E, Gómez A, Pinto M. (ω,c)-periodic functions and mild solutions to abstract fractional integro-differential equations. Electron J Qual Theory Differ Equ. 2018;16:1–8.
  • Agaoglou M, Fečkan M, Panagiotidou A. Existence and uniqueness of (ω,c)-periodic solutions of semilinear evolution equations. Int J Dynamical Syst Differ Equ. 2020;10:149–166.
  • Li M, Wang J, Fečkan M. (ω,c)-periodic solutions for impulsive differential systems. Commun Math. 2018;21:35–45.
  • Wang J, Ren L, Zhou Y. (ω,c)-periodic solutions for time varying impulsive differential equations. Adv Differ Equ. 2019;2019:259.
  • Pazy A. Semigroups of linear operators and applications to partial differential equations. Springer; New York; 1983.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.