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

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

Kui Liua Department of Mathematics, Guizhou University, Guiyang, People's Republic of ChinaView further author information
,
Michal Fečkanb Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Bratislava, Slovakia;c Mathematical Institute Slovak Academy of Sciences, Bratislava, SlovakiaORCID Iconhttps://orcid.org/0000-0002-7385-6737View further author information
ORCID Icon,
Donal O'Regand School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, IrelandView further author information
&
JinRong Wanga Department of Mathematics, Guizhou University, Guiyang, People's Republic of China;e School of Mathematical Sciences, Qufu Normal University, Qufu, People's Republic of ChinaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-6642-1946View further author information
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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.