Journal of Applied Nonlinear Dynamics
        
        
        
        
        
            first{A Damped Nonlinear Hyperbolic Equation with  Nonlinear Strain Term  }
        
         
                 Journal of Applied Nonlinear Dynamics 11(1) (2022) 171--177  | DOI:10.5890/JAND.2022.03.010
            
            
            
        
         normalsize Instituto de Investigaci'on, Facultad de Ciencias Matem'aticas-UNMSM,
 Lima-Per'u
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        Abstract
        
            
                           
        
        References
        
        -  | [1]  | Russell,  D.L. and  White, L.W. (2002), A Nonlinear Elastic Beam System with Inelastic Contact Constraints, Appl Math Optim., 46, 291-312. |  
 
-  | [2]  | Yang, Z. (2003), Global existence, asymptotic behavior and blowup of solutions for a class of nonlinear wave equations
with dissipative term, J. Differential Equations, 187, 520-540. |  
 
-  | [3]  | Lian,  W., Xu,  R.Z., R\v{a}dulescu, V.D.,  Yang, Y.B.,  and Zhao, N. (2019),  Global well-posedness for a class of fourth order nonlinear
strongly damped wave equations,  Adv. Calc. Var.,  http://dx.doi.org/10.1515/acv-2019-003. |  
 
-  | [4]  | Tartar,  L. (1978), Topics in Nonlinear Analysis,  Publications Math{ematiques d'Orsay},  Uni.Paris Sud. Dep. Math., Orsay, France. |  
 
-  | [5]  | Boukerrioua, K. and Guezane-Lakoud A. (2008), Some nonlinear integral inequalities arising in differential equations , Electron. J. Diff. Eqns., 80, 1-6. |  
 
-  | [6]  | Ragusa,  M.A. and Tachikawa, A. (2005), Partial regularity of the minimizers for quadratic functionals with VMO coefficients, J. Lond. Math. Soc.-Second Series, 72(3), 609-620. |  
 
-  | [7]  | Komornik, V. (1994), Exact Controllability and Stabilization, Research in Applied Mathematics,  Masson, Paris,
France. |  
 
-  | [8]  | Pang,  T. and Shen,  J. (2020), Global existence and asymptotic behaviour of solution for a damped nonlinear hyperbolic equation,  Nonlinear Anal., 198, Article 111885. |