[1] R.A. Adams, Sobolev spaces, pure and applied mathematics, vol. 65 Academic Press, Cambridge, 1978.
[2] M.M. Al-Gharabli, A. Guesmia and S.A. Messaoudi, Well-posedness and asymptotic stability results for a viscoelastic plate equation with a logarithmic nonlinearity, Appl. Anal. 99 (2020), no. 1, 50–74.
[3] M.M. Al-Gharabli and S.A. Messaoudi, Existence and a general decay result for a plate equation with nonlinear
damping and a logarithmic source term, J. Evol. Equ. 18 (2018), 105–125.
[4] K. Bartkowski and P. Gorka, One dimensional Klein-Gordon equation with logarithmic nonlinearities, J. Phys.
A: Math. Theor. 41 (2008), no. 35, 355201.
[5] I. Bialynicki-Birula and J. Mycielski, Wave equations with logarithmic nonlinearities, Bull. Acad. Polon. Sci. Ser.
Sci. Math. Astronom Phys. 23 (1975), no. 4, 461–466.
[6] I. Bialynicki-Birula and J. Mycielski, Nonlinear wave mechanics, Ann. Phys.. 100 (1976), no. 1-2, 62–93.
[7] T. Cazenave and A. Haraux, Equations d’evolution avec non-linearite logarithmique, Ann Fac. Sci. Touluse Math.
2 (1980), no. 1, 21–51.
[8] H. Chen, P. Luo and G.W. Liu, Global solution and blow-up of a semilinear heat equation with logarithmic non
linearity, J. Math. Anal. Appl. 422 (2015), 84–98.
[9] A. Choucha, D. Ouchenane and K. Zennir, Exponential growth of solution with Lp-norm for class of non-linear
viscoelastic wave equation with distributed delay term for large initial data, Open J. Math. Anal. 3 (2020), no. 1,
76–83.
[10] R. Datko, J. Lagnese and M.P. Polis, An example on the effect of time delays in boundary feedback stabilization
of wave equations, SIAM J. Control Optim. 24 (1986), no. 1, 152–156.
[11] P. Gorka, Logarithmic Klein-Gordon equation, Acta Phys. Polon. B 40 (2009), no. 1, 59–66.
[12] L. Gross, Logarithmic Sobolev inequalities, Amer. J. Math. 97 (1975), no. 4, 1061–1083.
[13] X. Han, Global existence of weak solutions for a logarithmic wave equation arising from q-ball dynamics, Bull.
Korean Math. Soc. 50 (2013), no. 1, 275–283.
[14] T. Hiramatsu, M. Kawasaki and F. Takahashi, Numerical study of q-ball formation in gravity mediation, J.
Cosmol. Astropart. Phys. 2010 (2010), no. 6, 008.
[15] M. Kafini and S.A. Messaoudi, A blow-up result in a nonlinear wave equation with delay, Mediterr. J. Math. 13
(2016), 237–247.
[16] M. Kafini and S.A. Messaoudi, Local existence and blow up of solutions to a logarithmic nonlinear wave equation
with delay, Appl. Anal. 99 (2020), no. 3, 530–547.
[17] M. Kirane and B.S. Houari, Existence and asymptotic stability of a viscoelastic wave equation with a delay, Z.
Angew. Math. Phys. 62 (2011), 1065–1082.
[18] J.L. Lions, Quelques methodes de resolution des problemes aux limites non lineaires, Dunod, Paris, 1969.
[19] K. Liu, Locally distributed control and damping for the conservative systems, SIAM J. Control Optim. 35 (1997),
1574–1590.
[20] G. Liu, The existence, general decay and blow-up for a plate equation with nonlinear damping and a logarithmic
source term, ERA 28 (2020), no. 1, 263–289.
[21] N. Mezouar, S. Boulaaras and A. Allahem, Global existence of solutions for the viscoelastic Kirchhoff equation
with logarithmic source terms, Complexity 2020 (2020), 1–25.
[22] S. Nicaise and C. Pignotti, Stabilization of the wave equation with boundary or internal distributed delay, Differ.
Integral Equ. 21 (2008), no. 9-10, 935–958.[23] S. Nicaise and C. Pignotti, Stability and instability results of the wave equation with a delay term in the boundary
or internal feedbacks, SIAM J. Control Optim. 45 (2006), no. 5, 1561–1585.
[24] S. Nicaise, J. Valein and E. Fridman, Stabilization of the heat and the wave equations with boundary time-varying
delays, DCDIS-S, 2 (2009), no. 3, 559–581.
[25] S.H. Park, Global existence, energy decay and blow-up of solutions for wave equations with time delay and logarithmic source, Adv. Differ. Equ. 2020 (2020), 631.
[26] E. Pi¸skin and H. Y¨uksekkaya, Local existence and blow up of solutions for a logarithmic nonlinear viscoelastic
wave equation with delay, Comput. Methods Differ. Equ. 9 (2021), no. 2, 623–636.
[27] E. Pi¸skin and H. Y¨uksekkaya, Nonexistence of global solutions of a delayed wave equation with variable-exponents,
Miskolc Math. Notes 22 (2021), no. 2, 841-859.
[28] E. Pi¸skin, H. Y¨uksekkaya, Decay of solutions for a nonlinear Petrovsky equation with delay term and variable
exponents, Aligarh Bull. Math. 39 (2020), no. 2, 63–78.
[29] E. Pi¸skin and H. Y¨uksekkaya, Blow-up of solutions for a logarithmic quasilinear hyperbolic equation with delay
term, J. Math. Anal. 12 (2021), no. 1, 56–64.
[30] E. Pi¸skin and H. Y¨uksekkaya, Blow up of solution for a viscoelastic wave equation with m-Laplacian and delay
terms, Tbil. Math. J. SI (2021), no. 7, 21–32.
[31] E. Pi¸skin and H. Y¨uksekkaya, Non-existence of solutions for a Timoshenko equations with weak dissipation, Math.
Morav. 22 (2018), no. 2, 1–9.
[32] Z. Sabbagh, A. Khemmoudj, M. Ferhat and M. Abdelli, Existence of global solutions and decay estimates for
a viscoelastic Petrovsky equation with internal distributed delay, Rend. Circ. Mat. Palermo Ser. (2) 68 (2019),
477–498.
[33] S.T. Wu, Asymptotic behavior for a viscoelastic wave equation with a delay term, Taiwanese J. Math. 17 (2013,
no. 3,) 765–784.
[34] S.T. Wu, Blow-up of solution for a viscoelastic wave equation with delay, Acta Math. Sci. 39B (2019), no. 1,
329–338.
[35] Z. Yang, Existence and energy decay of solutions for the Euler-Bernoulli viscoelastic equation with a delay, Z.
Angew. Math. Phys. 66 (2015), 727–745.
[36] C.Q. Xu, S.P. Yung and L.K. Li, Stabilization of the wave system with input delay in the boundary control, ESAIM.
Control Optim. Calc. Var. 12 (2006), 770–785.
[37] E. Zuazua, Exponential decay for the semi-linear wave equation with locally distributed damping, Commun. Partial
Differ. Equ. 15 (1990), 205–235.