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Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)

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. [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. [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. [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. [4] Tartar, L. (1978), Topics in Nonlinear Analysis, Publications Math{ematiques d'Orsay}, Uni.Paris Sud. Dep. Math., Orsay, France.
  5. [5]  Boukerrioua, K. and Guezane-Lakoud A. (2008), Some nonlinear integral inequalities arising in differential equations , Electron. J. Diff. Eqns., 80, 1-6.
  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. [7]  Komornik, V. (1994), Exact Controllability and Stabilization, Research in Applied Mathematics, Masson, Paris, France.
  8. [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.