Step method for a functional-differential equation from mathematical economics

Anton S. Mureșan

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The following equation appears in the price theory and in the dynamics of economical systems: x 0 (t) = [f(x(t)) − g(x(t − h))]x(t), t ∈ [0, T], h > 0, where f and g are given continuous functions, f, g ∈ C(R+, R). We use an abstract model of the step method (see I. A. Rus [14]) to obtain existence and uniqueness results for the solution of a problem for this equation.

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Mureșan, Anton S.