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  1. No Access

    Article

    Superstability of a Van Vleck’s type functional equation for the sine

    Let G be a group and let a be a fixed element of G, not necessarily belongs to the center of G. In this paper we study the superstability of the following functional equations

    F. Lehlou, M. Moussa, A. Roukbi, S. Kabbaj in Afrika Matematika (2018)

  2. No Access

    Article

    Hyers–Ulam stability of generalized Wilson’s and d’Alembert’s functional equations

    We study the Hyers–Ulam stability problem for the generalized Wilson’s equation $$\begin{aligned} \underset{\varphi \in \Phi }{\sum }\...

    D. Zeglami, A. Roukbi, S. Kabbaj in Afrika Matematika (2015)

  3. No Access

    Chapter

    D’Alembert’s Functional Equation and Superstability Problem in Hypergroups

    Our main goal is to determine the continuous and bounded complex valued solutions of the functional equation $$ \langle \delta_{x}\ast \delta_{y},g\ra...

    D. Zeglami, A. Roukbi, Themistocles M. Rassias in Handbook of Functional Equations (2014)

  4. No Access

    Chapter

    μ-Trigonometric Functional Equations and Hyers–Ulam Stability Problem in Hypergroups

    Let (X, ∗ ) be a hypergroup and μ be a complex bounded measure on X. We determine the continuous and bounded solutions of each of the following three functional equations

    D. Zeglami, S. Kabbaj, A. Charifi, A. Roukbi in Functional Equations in Mathematical Analy… (2012)

  5. No Access

    Article

    Identification of the diffusion coefficient for a semi-linear hyperbolic-parabolic problem with discontinuous nonlinear terms

    Numerical computations concerning geochemical processes in porous media require a knowledge of the values of the macroscopic parameters. In the context of the interpretation of leaching tests one such paramete...

    J. Pousin, A. Roukbi in Computational Geosciences (1998)