Research Article

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

Volume: 4 Number: 2 July 31, 2021
EN

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

Abstract

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.

Keywords

References

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  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).
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  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).

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). 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, and 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 (July 1, 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 and E. Pişkin, “NONEXISTENCE OF GLOBAL SOLUTIONS FOR A KIRCHHOFF-TYPE VISCOELASTIC EQUATION WITH DISTRIBUTED DELAY”, JUM, vol. 4, no. 2, pp. 271–282, July 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 (July 1, 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, and Erhan Pişkin. “NONEXISTENCE OF GLOBAL SOLUTIONS FOR A KIRCHHOFF-TYPE VISCOELASTIC EQUATION WITH DISTRIBUTED DELAY”. Journal of Universal Mathematics, vol. 4, no. 2, July 2021, pp. 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. 2021 Jul. 1;4(2):271-82. doi:10.33773/jum.957741

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