Abstract
In this paper we use the Hicks property for a variational problem on a graph. For an elastic system defined on a graph we state a well-posed problem which implies the definition and the study of the influence function.
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References
M. Morishima, Equilibrium, Stability, Growth (Clarendon Press, Oxford. 1964; Nauka, Moscow, 1972).
H. Nikaido, Convex Structures and Mathematical Economics (Academic Press, New York, 1968; Mir, Moscow, 1972).
Yu. V. Pokornyi, O. M. Penkin, V. L. Pryadiev, et. al., Differential Equations on Geometric Graphs (Fizmatlit, Moscow, 2004) [in Russian].
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Original Russian Text © Yu.V. Pokornyi, E.V. Gulynina, and T.V. Perlovskaya, 2008, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, No. 10, pp. 48–54.
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Pokornyi, Y.V., Gulynina, E.V. & Perlovskaya, T.V. The Hicks property for a variational problem on a graph. Russ Math. 52, 40–45 (2008). https://doi.org/10.3103/S1066369X0810006X
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DOI: https://doi.org/10.3103/S1066369X0810006X