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Solutions to Rayleigh–Love equation with constant coefficients and delay forcing term

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  • Gupta, Nishi
  • Maqbul, Md.

Abstract

In this paper, we applied the Rothe time-discretization method for establishing the sufficient conditions for the existence and uniqueness of a strong solution of a Rayleigh–Love equation with constant coefficients and delay forcing term subject to history, initial and integral conditions. We also provided an example to illustrate the main result.

Suggested Citation

  • Gupta, Nishi & Maqbul, Md., 2019. "Solutions to Rayleigh–Love equation with constant coefficients and delay forcing term," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 123-134.
  • Handle: RePEc:eee:apmaco:v:355:y:2019:i:c:p:123-134
    DOI: 10.1016/j.amc.2019.02.059
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    References listed on IDEAS

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    1. Abdelfatah Bouziani & Rachid Mechri, 2010. "The Rothe's Method to a Parabolic Integrodifferential Equation with a Nonclassical Boundary Conditions," International Journal of Stochastic Analysis, Hindawi, vol. 2010, pages 1-16, March.
    2. Nabil Merazga & Abdelfatah Bouziani, 2006. "Rothe time-discretization method for the semilinear heat equation subject to a nonlocal boundary condition," International Journal of Stochastic Analysis, Hindawi, vol. 2006, pages 1-20, September.
    3. D. Bahaguna & A. K. Pani & V. Raghavendra, 1990. "Rothe's method to semilinear hyperbolic integrodifferential equations," International Journal of Stochastic Analysis, Hindawi, vol. 3, pages 1-8, January.
    4. Nabil Merazga & Abdelfatah Bouziani, 2003. "Rothe method for a mixed problem with an integral condition for the two-dimensional diffusion equation," Abstract and Applied Analysis, Hindawi, vol. 2003, pages 1-24, January.
    5. Chaoui, A. & Guezane-Lakoud, A., 2015. "Solution to an integrodifferential equation with integral condition," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 903-908.
    6. Nabil Merazga & Abdelfatah Bouziani, 2005. "Rothe time-discretization method for a nonlocal problem arising in thermoelasticity," International Journal of Stochastic Analysis, Hindawi, vol. 2005, pages 1-16, January.
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