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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 & Continuous Dynamical Systems  A, 2008, 20 (3) : 459509. doi: 10.3934/dcds.2008.20.459 
[2] 
Belkacem SaidHouari, Flávio A. Falcão Nascimento. Global existence and nonexistence for the viscoelastic wave equation with nonlinear boundary dampingsource interaction. Communications on Pure & Applied Analysis, 2013, 12 (1) : 375403. doi: 10.3934/cpaa.2013.12.375 
[3] 
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 & Control Theory, 2017, 6 (2) : 239260. doi: 10.3934/eect.2017013 
[4] 
A. Kh. Khanmamedov. Global attractors for strongly damped wave equations with displacement dependent damping and nonlinear source term of critical exponent. Discrete & Continuous Dynamical Systems  A, 2011, 31 (1) : 119138. doi: 10.3934/dcds.2011.31.119 
[5] 
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 
[6] 
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 
[7] 
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 & Continuous Dynamical Systems  S, 2017, 10 (5) : 11751185. doi: 10.3934/dcdss.2017064 
[8] 
JongShenq Guo, Bei Hu. Blowup rate estimates for the heat equation with a nonlinear gradient source term. Discrete & Continuous Dynamical Systems  A, 2008, 20 (4) : 927937. doi: 10.3934/dcds.2008.20.927 
[9] 
Andrey Sarychev. Controllability of the cubic Schroedinger equation via a lowdimensional source term. Mathematical Control & Related Fields, 2012, 2 (3) : 247270. doi: 10.3934/mcrf.2012.2.247 
[10] 
Guirong Liu, Yuanwei Qi. Signchanging solutions of a quasilinear heat equation with a source term. Discrete & Continuous Dynamical Systems  B, 2013, 18 (5) : 13891414. doi: 10.3934/dcdsb.2013.18.1389 
[11] 
Thierry Cazenave, Yvan Martel, Lifeng Zhao. Finitetime blowup for a Schrödinger equation with nonlinear source term. Discrete & Continuous Dynamical Systems  A, 2019, 39 (2) : 11711183. doi: 10.3934/dcds.2019050 
[12] 
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 
[13] 
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 
[14] 
Monica Marras, Stella VernierPiro. A note on a class of 4th order hyperbolic problems with weak and strong damping and superlinear source term. Discrete & Continuous Dynamical Systems  S, 2020, 13 (7) : 20472055. doi: 10.3934/dcdss.2020157 
[15] 
Tae Gab Ha. On the viscoelastic equation with BalakrishnanTaylor damping and acoustic boundary conditions. Evolution Equations & Control Theory, 2018, 7 (2) : 281291. doi: 10.3934/eect.2018014 
[16] 
Da Xu. Numerical solutions of viscoelastic bending wave equations with two term time kernels by RungeKutta convolution quadrature. Discrete & Continuous Dynamical Systems  B, 2017, 22 (6) : 23892416. doi: 10.3934/dcdsb.2017122 
[17] 
Hideo Kubo. On the pointwise decay estimate for the wave equation with compactly supported forcing term. Communications on Pure & Applied Analysis, 2015, 14 (4) : 14691480. doi: 10.3934/cpaa.2015.14.1469 
[18] 
Umberto Biccari, Mahamadi Warma. Nullcontrollability properties of a fractional wave equation with a memory term. Evolution Equations & Control Theory, 2020, 9 (2) : 399430. doi: 10.3934/eect.2020011 
[19] 
Zhiqing Liu, Zhong Bo Fang. Global solvability and general decay of a transmission problem for kirchhofftype wave equations with nonlinear damping and delay term. Communications on Pure & Applied Analysis, 2020, 19 (2) : 941966. doi: 10.3934/cpaa.2020043 
[20] 
Davide Guidetti. Partial reconstruction of the source term in a linear parabolic initial problem with Dirichlet boundary conditions. Discrete & Continuous Dynamical Systems  A, 2013, 33 (11&12) : 51075141. doi: 10.3934/dcds.2013.33.5107 
2018 Impact Factor: 0.925
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