EN
GLOBAL NONEXISTENCE OF THE HIGHER ORDER KIRCHHOFF TYPE SYSTEM WITH LOGARITHMIC NONLINEARITIES
Öz
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.
Anahtar Kelimeler
Kaynakça
- 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).
- 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).
- 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).
- 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).
- P. Gorka, Logarithmic Klein-Gordon equation, Acta Physica Polonica B, 40(1), (2009).
- 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).
- 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).
- 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).
Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
31 Temmuz 2021
Gönderilme Tarihi
23 Haziran 2021
Kabul Tarihi
29 Temmuz 2021
Yayımlandığı Sayı
Yıl 2021 Cilt: 4 Sayı: 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, ve 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 (01 Temmuz 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 ve E. Pişkin, “GLOBAL NONEXISTENCE OF THE HIGHER ORDER KIRCHHOFF TYPE SYSTEM WITH LOGARITHMIC NONLINEARITIES”, JUM, c. 4, sy 2, ss. 172–187, Tem. 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 (01 Temmuz 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, ve Erhan Pişkin. “GLOBAL NONEXISTENCE OF THE HIGHER ORDER KIRCHHOFF TYPE SYSTEM WITH LOGARITHMIC NONLINEARITIES”. Journal of Universal Mathematics, c. 4, sy 2, Temmuz 2021, ss. 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. 01 Temmuz 2021;4(2):172-87. doi:10.33773/jum.956729