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The Rothe's Method to a Parabolic Integrodifferential Equation with a Nonclassical Boundary Conditions

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  • Abdelfatah Bouziani
  • Rachid Mechri

Abstract

This paper is devoted to prove, in a nonclassical function space, the weak solvability of parabolic integrodifferential equations with a nonclassical boundary conditions. The investigation is made by means of approximation by the Rothes method which is based on a semidiscretization of the given problem with respect to the time variable.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnijsa:519684
    DOI: 10.1155/2010/519684
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    Cited by:

    1. 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.

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