Publication Cover
Applicable Analysis
An International Journal
Volume 101, 2022 - Issue 16
67
Views
1
CrossRef citations to date
0
Altmetric
Research Article

Finite-time attractivity for semilinear functional differential inclusions

Pages 5571-5581 | Received 08 Nov 2020, Accepted 18 Feb 2021, Published online: 15 Mar 2021

References

  • Aubin J-P, Cellina A. Differential inclusions. Set-valued maps and viability theory. Berlin: Springer-Verlag; 1984.
  • Deimling K. Multivalued differential equations. Berlin: Walter de Gruyter; 1992.
  • Kamenskii M, Obukhovskii V, Zecca P. Condensing multivalued maps and semilinear differential inclusions in Banach Spaces. Berlin: Walter de Gruyter; 2001.
  • Driver RD. Ordinary and delay differential equations. New York Inc: Springer-Verlag; 1977.
  • Carvalho AN, Langa JA, Robinson JC. Attractors for infinite-dimensional non-autonomous dynamical systems. New York: Springer; 2013.
  • Duc LH, Ch a´vez JP, Son DT, et al. Finite-time Lyapunov exponents and metabolic control coeficients for threshold detection of stimulus-response curves. J Biol Dyn. 2016;10:379–394.
  • Peacock T, Dabiri J. Introduction to focus issue: Lagrangian coherent structures. Chaos. 2010;20:017501.
  • Rateitschak K, Wolkenhauer O. Thresholds in transient dynamics of signal transduction pathways. J Theor Biol. 2010;264:334–346.
  • Berger A. On finite-time hyperbolicity. Commun Pure Appl Anal. 2011;10:963–981.
  • Duc LH, Siegmund S. Hyperbolicity and invariant manifolds for planar nonautonomous systems on finite time intervals. Internat J Bifur Chaos. 2008;18:641–674.
  • Duc LH, Siegmund S. Existence of finite-time hyperbolic trajectories for planar Hamiltonianows. J Dyn Differ Equ. 23;2011:475–494.
  • Giesl P, Rasmussen M. Areas of attraction for nonautonomous diferential equations on finite time intervals. J Math Anal Appl. 2012;390:27–46.
  • Rasmussen M. Attractivity and bifurcation for nonautonomous dynamical systems. Berlin: Springer; 2007. (Lecture Notes in Mathematics; 1907).
  • Ke TD, Quan NN. Finite-time attractivity for semilinear tempered fractional wave equations. Fract Calc Appl Anal. 2018;6:1471–1492.
  • Ke TD, Van Tuan T. Finite-time attractivity for semilinear fractional differential equations. Results Math. 2018;73(7). 19 pp.
  • Bothe D. Multivalued perturbations of m-accretive differential inclusions. Israel J Math. 1998;108:109–18.
  • Diestel J, Ruess WM, Schachermayer W. Weak compactness in L1(μ;X). Proc Am Math Soc. 1993;118:447–453.
  • Dac NV, Ke TD. Pullback attractor for differential evolution inclusions with infinite delays. Appl Math Comput. 2015;265:667–680.
  • Benedetti I, Obukhovskii V, Taddei V. Controllability for systems governed by semilinear evolution inclusions without compactness. NoDEA Nonlinear Differ Equ Appl. 2014;21(6):795–812.
  • Benedetti I, Obukhovskii V, Zecca P. Controllability for impulsive semilinear functional differential inclusions with a non-compact evolution operator. Discuss Math Differ Incl Control Optim. 2011;31(1):39–69.
  • Arendt W, Bénilan P. Wiener regularity and heat semigroups on spaces of continuous functions. Topics in nonlinear analysis, 29–49, Progr. Nonlinear Differential Equations Appl., 35, Birkhäuser, Basel, 1999.
  • Haraux A, Jendoubi MA. The convergence problem for dissipative autonomous systems. Classical methods and recent advances. New York: Springer; 2015.

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.