Araştırma Makalesi

NONEXISTENCE OF GLOBAL SOLUTIONS FOR A KIRCHHOFF-TYPE VISCOELASTIC EQUATION WITH DISTRIBUTED DELAY

Cilt: 4 Sayı: 2 31 Temmuz 2021
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NONEXISTENCE OF GLOBAL SOLUTIONS FOR A KIRCHHOFF-TYPE VISCOELASTIC EQUATION WITH DISTRIBUTED DELAY

Öz

In this paper, we consider a Kirchhoff-type viscoelastic equation with distributed delay and source terms. We obtain the nonexistence of global solutions under suitable conditions.

Anahtar Kelimeler

Kaynakça

  1. R.A. Adams, J.J.F. Fournier, Sobolev Spaces, Academic Press, (2003).
  2. 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).
  3. 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).
  4. 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).
  5. J.K. Hale, S.M. Verduyn Lunel, Introduction to Functional-Differential Equations, Appl. Math. Sci., 99, 447, (Springer-Verlag, New York), (1993).
  6. M. Kafini, S.A. Messaoudi, A blow-up result in a nonlinear wave equation with delay, Mediterr. J. Math., 13, pp.237-247 (2016).
  7. G. Kirchhoff, Vorlesungen über Mechanik, 3rd. ed., Teubner, Leipzig, (1883).
  8. S. Nicaise, C. Pignotti, Stabilization of the wave equation with boundary or internal distributed delay, Differ. Integral Equ., 21, pp.935-958 (2008).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Temmuz 2021

Gönderilme Tarihi

25 Haziran 2021

Kabul Tarihi

30 Temmuz 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 4 Sayı: 2

Kaynak Göster

APA
Yüksekkaya, H., & Pişkin, E. (2021). NONEXISTENCE OF GLOBAL SOLUTIONS FOR A KIRCHHOFF-TYPE VISCOELASTIC EQUATION WITH DISTRIBUTED DELAY. Journal of Universal Mathematics, 4(2), 271-282. https://doi.org/10.33773/jum.957741
AMA
1.Yüksekkaya H, Pişkin E. NONEXISTENCE OF GLOBAL SOLUTIONS FOR A KIRCHHOFF-TYPE VISCOELASTIC EQUATION WITH DISTRIBUTED DELAY. JUM. 2021;4(2):271-282. doi:10.33773/jum.957741
Chicago
Yüksekkaya, Hazal, ve Erhan Pişkin. 2021. “NONEXISTENCE OF GLOBAL SOLUTIONS FOR A KIRCHHOFF-TYPE VISCOELASTIC EQUATION WITH DISTRIBUTED DELAY”. Journal of Universal Mathematics 4 (2): 271-82. https://doi.org/10.33773/jum.957741.
EndNote
Yüksekkaya H, Pişkin E (01 Temmuz 2021) NONEXISTENCE OF GLOBAL SOLUTIONS FOR A KIRCHHOFF-TYPE VISCOELASTIC EQUATION WITH DISTRIBUTED DELAY. Journal of Universal Mathematics 4 2 271–282.
IEEE
[1]H. Yüksekkaya ve E. Pişkin, “NONEXISTENCE OF GLOBAL SOLUTIONS FOR A KIRCHHOFF-TYPE VISCOELASTIC EQUATION WITH DISTRIBUTED DELAY”, JUM, c. 4, sy 2, ss. 271–282, Tem. 2021, doi: 10.33773/jum.957741.
ISNAD
Yüksekkaya, Hazal - Pişkin, Erhan. “NONEXISTENCE OF GLOBAL SOLUTIONS FOR A KIRCHHOFF-TYPE VISCOELASTIC EQUATION WITH DISTRIBUTED DELAY”. Journal of Universal Mathematics 4/2 (01 Temmuz 2021): 271-282. https://doi.org/10.33773/jum.957741.
JAMA
1.Yüksekkaya H, Pişkin E. NONEXISTENCE OF GLOBAL SOLUTIONS FOR A KIRCHHOFF-TYPE VISCOELASTIC EQUATION WITH DISTRIBUTED DELAY. JUM. 2021;4:271–282.
MLA
Yüksekkaya, Hazal, ve Erhan Pişkin. “NONEXISTENCE OF GLOBAL SOLUTIONS FOR A KIRCHHOFF-TYPE VISCOELASTIC EQUATION WITH DISTRIBUTED DELAY”. Journal of Universal Mathematics, c. 4, sy 2, Temmuz 2021, ss. 271-82, doi:10.33773/jum.957741.
Vancouver
1.Hazal Yüksekkaya, Erhan Pişkin. NONEXISTENCE OF GLOBAL SOLUTIONS FOR A KIRCHHOFF-TYPE VISCOELASTIC EQUATION WITH DISTRIBUTED DELAY. JUM. 01 Temmuz 2021;4(2):271-82. doi:10.33773/jum.957741

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