Research Article

BLOW-UP RESULTS FOR A VISCOELASTIC PLATE EQUATION WITH DISTRIBUTED DELAY

Volume: 4 Number: 2 July 31, 2021
EN

BLOW-UP RESULTS FOR A VISCOELASTIC PLATE EQUATION WITH DISTRIBUTED DELAY

Abstract

In this paper, we consider a nonlinear viscoelastic plate equation with distributed delay. Under suitable conditions, we obtain the blow-up of solutions with distributed delay and source terms.

Keywords

Supporting Institution

DİCLE UNIVERSITY - DUBAP

Project Number

ZGEF.20.009

References

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  3. A. Choucha, D. Ouchenane and S. Boulaaras, Blow-up of a nonlinear viscoelastic wave equation with distributed delay combined with strong damping and source terms, J. Nonlinear Funct. Anal., 2020,pp.1-10 (2020).
  4. A. Choucha, D. Ouchenane and K. Zennir, Exponential growth of solution with L_p-norm for class of non-linear viscoelastic wave equation with distributed delay term for large initial data, Open J. Math. Anal., 3(1), pp.76-83 (2020).
  5. R. Datko, J. Lagnese and M.P. Polis, An example on the effect of time delays in boundary feedback stabilization of wave equations, SICON, 24(1), pp.152-156 (1986).
  6. J.K. Hale, S.M. Verduyn Lunel, Introduction to Functional-Differential Equations, Appl. Math. Sci., 99, x+447, (Springer-Verlag, New York),(1993).
  7. M. Kafini, S.A. Messaoudi, A blow-up result in a nonlinear wave equation with delay, Mediterr. J. Math., 13, pp.237-247 (2016).
  8. J.E. Lagnese, Asymptotic energy estimate for Kirchhoff plates subject to weak viscoelastic damping, Internat. Ser. of Numer. Math., 91, Birkhcauser-Verlag, Bassel, (1989).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

July 31, 2021

Submission Date

June 25, 2021

Acceptance Date

July 30, 2021

Published in Issue

Year 2021 Volume: 4 Number: 2

APA
Yüksekkaya, H., & Pişkin, E. (2021). BLOW-UP RESULTS FOR A VISCOELASTIC PLATE EQUATION WITH DISTRIBUTED DELAY. Journal of Universal Mathematics, 4(2), 128-139. https://doi.org/10.33773/jum.957748
AMA
1.Yüksekkaya H, Pişkin E. BLOW-UP RESULTS FOR A VISCOELASTIC PLATE EQUATION WITH DISTRIBUTED DELAY. JUM. 2021;4(2):128-139. doi:10.33773/jum.957748
Chicago
Yüksekkaya, Hazal, and Erhan Pişkin. 2021. “BLOW-UP RESULTS FOR A VISCOELASTIC PLATE EQUATION WITH DISTRIBUTED DELAY”. Journal of Universal Mathematics 4 (2): 128-39. https://doi.org/10.33773/jum.957748.
EndNote
Yüksekkaya H, Pişkin E (July 1, 2021) BLOW-UP RESULTS FOR A VISCOELASTIC PLATE EQUATION WITH DISTRIBUTED DELAY. Journal of Universal Mathematics 4 2 128–139.
IEEE
[1]H. Yüksekkaya and E. Pişkin, “BLOW-UP RESULTS FOR A VISCOELASTIC PLATE EQUATION WITH DISTRIBUTED DELAY”, JUM, vol. 4, no. 2, pp. 128–139, July 2021, doi: 10.33773/jum.957748.
ISNAD
Yüksekkaya, Hazal - Pişkin, Erhan. “BLOW-UP RESULTS FOR A VISCOELASTIC PLATE EQUATION WITH DISTRIBUTED DELAY”. Journal of Universal Mathematics 4/2 (July 1, 2021): 128-139. https://doi.org/10.33773/jum.957748.
JAMA
1.Yüksekkaya H, Pişkin E. BLOW-UP RESULTS FOR A VISCOELASTIC PLATE EQUATION WITH DISTRIBUTED DELAY. JUM. 2021;4:128–139.
MLA
Yüksekkaya, Hazal, and Erhan Pişkin. “BLOW-UP RESULTS FOR A VISCOELASTIC PLATE EQUATION WITH DISTRIBUTED DELAY”. Journal of Universal Mathematics, vol. 4, no. 2, July 2021, pp. 128-39, doi:10.33773/jum.957748.
Vancouver
1.Hazal Yüksekkaya, Erhan Pişkin. BLOW-UP RESULTS FOR A VISCOELASTIC PLATE EQUATION WITH DISTRIBUTED DELAY. JUM. 2021 Jul. 1;4(2):128-39. doi:10.33773/jum.957748

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