Research Article

GLOBAL NONEXISTENCE OF THE HIGHER ORDER KIRCHHOFF TYPE SYSTEM WITH LOGARITHMIC NONLINEARITIES

Volume: 4 Number: 2 July 31, 2021
EN

GLOBAL NONEXISTENCE OF THE HIGHER ORDER KIRCHHOFF TYPE SYSTEM WITH LOGARITHMIC NONLINEARITIES

Abstract

This paper deals with the the system a class of nonlinear higher-order Kirchhoff-type equations with logarithmic nonlinearities. Under the appropriate assumptions, the theorem of global nonexistence is established at positive initial energy levels.

Keywords

References

  1. M. M. Al-Gharabli, S. A. Messaoudi, The existence and the asymptotic behavior of a plate equation with frictional damping and a logarithmic source term, Journal of Mathematical Analysis and Applications, 454(2), 1114-1128, (2017).
  2. Y. Chen, R. Xu, Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity, Nonlinear Analysis, 192, 111664, (2020).
  3. S. M. S. Cordeiro, D.C. Pereira, J. Ferreira, C.A Raposo, Global solutions and exponential decay to a Klein--Gordon equation of Kirchhoff-Carrier type with strong damping and nonlinear logarithmic source term. Partial Differential Equations in Applied Mathematics, 3, 100018, (2021).
  4. H. Di, Y. Shang, Z. Song, Initial boundary value problem for a class of strongly damped semilinear wave equations with logarithmic nonlinearity. Nonlinear Analysis: Real World Applications, 51, 102968, (2020).
  5. P. Gorka, Logarithmic Klein-Gordon equation, Acta Physica Polonica B, 40(1), (2009).
  6. X. Han, Global existence of weak solutions for a logarithmic wave equation arising from Q-ball dynamics, Bulletin of the Korean Mathematical Society, 50(1), 275-283, (2013).
  7. T. Hiramatsu, M. Kawasaki, F. Takahashi, Numerical study of Q-ball formation in gravity mediation. Journal of Cosmology and Astroparticle Physics, 2010(06), 008, (2010).
  8. N. Irkıl, E. Pişkin Global existence and decay of solutions for a higher-order Kirchhoff-type systems with logarithmic nonlinearities, Quaestiones Mathematicae, 1-24, (2021), (in press).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

July 31, 2021

Submission Date

June 23, 2021

Acceptance Date

July 29, 2021

Published in Issue

Year 2021 Volume: 4 Number: 2

APA
Irkıl, N., & Pişkin, E. (2021). GLOBAL NONEXISTENCE OF THE HIGHER ORDER KIRCHHOFF TYPE SYSTEM WITH LOGARITHMIC NONLINEARITIES. Journal of Universal Mathematics, 4(2), 172-187. https://doi.org/10.33773/jum.956729
AMA
1.Irkıl N, Pişkin E. GLOBAL NONEXISTENCE OF THE HIGHER ORDER KIRCHHOFF TYPE SYSTEM WITH LOGARITHMIC NONLINEARITIES. JUM. 2021;4(2):172-187. doi:10.33773/jum.956729
Chicago
Irkıl, Nazlı, and Erhan Pişkin. 2021. “GLOBAL NONEXISTENCE OF THE HIGHER ORDER KIRCHHOFF TYPE SYSTEM WITH LOGARITHMIC NONLINEARITIES”. Journal of Universal Mathematics 4 (2): 172-87. https://doi.org/10.33773/jum.956729.
EndNote
Irkıl N, Pişkin E (July 1, 2021) GLOBAL NONEXISTENCE OF THE HIGHER ORDER KIRCHHOFF TYPE SYSTEM WITH LOGARITHMIC NONLINEARITIES. Journal of Universal Mathematics 4 2 172–187.
IEEE
[1]N. Irkıl and E. Pişkin, “GLOBAL NONEXISTENCE OF THE HIGHER ORDER KIRCHHOFF TYPE SYSTEM WITH LOGARITHMIC NONLINEARITIES”, JUM, vol. 4, no. 2, pp. 172–187, July 2021, doi: 10.33773/jum.956729.
ISNAD
Irkıl, Nazlı - Pişkin, Erhan. “GLOBAL NONEXISTENCE OF THE HIGHER ORDER KIRCHHOFF TYPE SYSTEM WITH LOGARITHMIC NONLINEARITIES”. Journal of Universal Mathematics 4/2 (July 1, 2021): 172-187. https://doi.org/10.33773/jum.956729.
JAMA
1.Irkıl N, Pişkin E. GLOBAL NONEXISTENCE OF THE HIGHER ORDER KIRCHHOFF TYPE SYSTEM WITH LOGARITHMIC NONLINEARITIES. JUM. 2021;4:172–187.
MLA
Irkıl, Nazlı, and Erhan Pişkin. “GLOBAL NONEXISTENCE OF THE HIGHER ORDER KIRCHHOFF TYPE SYSTEM WITH LOGARITHMIC NONLINEARITIES”. Journal of Universal Mathematics, vol. 4, no. 2, July 2021, pp. 172-87, doi:10.33773/jum.956729.
Vancouver
1.Nazlı Irkıl, Erhan Pişkin. GLOBAL NONEXISTENCE OF THE HIGHER ORDER KIRCHHOFF TYPE SYSTEM WITH LOGARITHMIC NONLINEARITIES. JUM. 2021 Jul. 1;4(2):172-87. doi:10.33773/jum.956729