"The method of successive approximations is often applied to proving existence of solutions to various classes of functional equations; moreover, the proof of convergence of these approximations leans on the fact that the equation under study may be majorised by another equation of a simple kind. Similar proofs may be encountered in the theory of infinitely many simultaneous linear equations and in the theory of integral and differential equations. Consideration ofjkbni semiordered spaces and operations between them enables us to easily develop a complete theory of such functional equations in abstract form."
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Economists from RussiaMathematicians from RussiaMathematicians from the Soviet UnionNobel laureates in EconomicsEconomists from the Soviet Union
Original Language: English
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"On one class of functional equations" (1936), as cited in: O'Connor, John J.; Robertson, Edmund F., "Leonid Kantorovich", MacTutor History of Mathematics archive, University of St Andrews
https://en.wikiquote.org/wiki/Leonid_Kantorovich
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Leonid Kantorovich
Leonid Vitalyevich Kantorovich (19 January 1912 ā 7 April 1986) was a Soviet mathematician and economist, known for his theory and development of techniques for the optimal allocation of resources. He is regarded as the founder of linear programming. He was the winner of the Stalin Prize in 1949 and the Nobel Prize in Economics in 1975.
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