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Multiplicity results for periodic solutions to a class of second order delay differential equations
On viscoelastic wave equation with nonlinear boundary damping and source term
1.  Department of Mathematics, Pusan National University, Busan, 609735, South Korea 
[1] 
Igor Chueshov, Irena Lasiecka, Daniel Toundykov. Longterm dynamics of semilinear wave equation with nonlinear localized interior damping and a source term of critical exponent. Discrete and Continuous Dynamical Systems, 2008, 20 (3) : 459509. doi: 10.3934/dcds.2008.20.459 
[2] 
Mohammad AlGharabli, Mohamed Balegh, Baowei Feng, Zayd Hajjej, Salim A. Messaoudi. Existence and general decay of BalakrishnanTaylor viscoelastic equation with nonlinear frictional damping and logarithmic source term. Evolution Equations and Control Theory, 2021 doi: 10.3934/eect.2021038 
[3] 
Belkacem SaidHouari, Flávio A. Falcão Nascimento. Global existence and nonexistence for the viscoelastic wave equation with nonlinear boundary dampingsource interaction. Communications on Pure and Applied Analysis, 2013, 12 (1) : 375403. doi: 10.3934/cpaa.2013.12.375 
[4] 
Nadjat Doudi, Salah Boulaaras, Nadia Mezouar, Rashid Jan. Global existence, general decay and blowup for a nonlinear wave equation with logarithmic source term and fractional boundary dissipation. Discrete and Continuous Dynamical Systems  S, 2022 doi: 10.3934/dcdss.2022106 
[5] 
Wenjun Liu, Biqing Zhu, Gang Li, Danhua Wang. General decay for a viscoelastic Kirchhoff equation with BalakrishnanTaylor damping, dynamic boundary conditions and a timevarying delay term. Evolution Equations and Control Theory, 2017, 6 (2) : 239260. doi: 10.3934/eect.2017013 
[6] 
A. Kh. Khanmamedov. Global attractors for strongly damped wave equations with displacement dependent damping and nonlinear source term of critical exponent. Discrete and Continuous Dynamical Systems, 2011, 31 (1) : 119138. doi: 10.3934/dcds.2011.31.119 
[7] 
Gongwei Liu. The existence, general decay and blowup for a plate equation with nonlinear damping and a logarithmic source term. Electronic Research Archive, 2020, 28 (1) : 263289. doi: 10.3934/era.2020016 
[8] 
Xudong Luo, Qiaozhen Ma. The existence of timedependent attractor for wave equation with fractional damping and lower regular forcing term. Discrete and Continuous Dynamical Systems  B, 2021 doi: 10.3934/dcdsb.2021253 
[9] 
Jie Yang, Sen Ming, Wei Han, Xiongmei Fan. Lifespan estimates of solutions to quasilinear wave equations with damping and negative mass term. Mathematical Control and Related Fields, 2022 doi: 10.3934/mcrf.2022022 
[10] 
Huafei Di, Yadong Shang, Jiali Yu. Existence and uniform decay estimates for the fourth order wave equation with nonlinear boundary damping and interior source. Electronic Research Archive, 2020, 28 (1) : 221261. doi: 10.3934/era.2020015 
[11] 
Chao Yang, Yanbing Yang. Longtime behavior for fourthorder wave equations with strain term and nonlinear weak damping term. Discrete and Continuous Dynamical Systems  S, 2021, 14 (12) : 46434658. doi: 10.3934/dcdss.2021110 
[12] 
Jun Zhou. Global existence and energy decay estimate of solutions for a class of nonlinear higherorder wave equation with general nonlinear dissipation and source term. Discrete and Continuous Dynamical Systems  S, 2017, 10 (5) : 11751185. doi: 10.3934/dcdss.2017064 
[13] 
JongShenq Guo, Bei Hu. Blowup rate estimates for the heat equation with a nonlinear gradient source term. Discrete and Continuous Dynamical Systems, 2008, 20 (4) : 927937. doi: 10.3934/dcds.2008.20.927 
[14] 
Chan Liu, Jin Wen, Zhidong Zhang. Reconstruction of the timedependent source term in a stochastic fractional diffusion equation. Inverse Problems and Imaging, 2020, 14 (6) : 10011024. doi: 10.3934/ipi.2020053 
[15] 
Xuan Liu, Ting Zhang. $ H^2 $ blowup result for a Schrödinger equation with nonlinear source term. Electronic Research Archive, 2020, 28 (2) : 777794. doi: 10.3934/era.2020039 
[16] 
Thierry Cazenave, Yvan Martel, Lifeng Zhao. Finitetime blowup for a Schrödinger equation with nonlinear source term. Discrete and Continuous Dynamical Systems, 2019, 39 (2) : 11711183. doi: 10.3934/dcds.2019050 
[17] 
Andrey Sarychev. Controllability of the cubic Schroedinger equation via a lowdimensional source term. Mathematical Control and Related Fields, 2012, 2 (3) : 247270. doi: 10.3934/mcrf.2012.2.247 
[18] 
Guirong Liu, Yuanwei Qi. Signchanging solutions of a quasilinear heat equation with a source term. Discrete and Continuous Dynamical Systems  B, 2013, 18 (5) : 13891414. doi: 10.3934/dcdsb.2013.18.1389 
[19] 
Qi Li, Kefan Pan, Shuangjie Peng. Positive solutions to a nonlinear fractional equation with an external source term. Discrete and Continuous Dynamical Systems, 2022 doi: 10.3934/dcds.2022068 
[20] 
Yuri V. Rogovchenko, Fatoş Tuncay. Interval oscillation of a second order nonlinear differential equation with a damping term. Conference Publications, 2007, 2007 (Special) : 883891. doi: 10.3934/proc.2007.2007.883 
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