Summary
The method of characteristics is adapted to first-order functional-derivative equations. The general solution is then found to three such equations in mathematical physics. Topological questions are not considered in this paper.
Riassunto
Si adatta il metodo delle caratteristiche alle equazioni alle derivate funzionali di primo ordine. Si trova poi la soluzione generale di tre di queste equazioni in fisica matematica. In questo articolo non si considerano questioni topologiche.
Резюне
Метод характеристик приспосабливается к уравнениям с функциональными производными первого порядка. Затем находится общее решение трех таких уравнений в математической физике. В этой статье топологические вопросы не рассматриваются.
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References
J. Tarski:Boulder Lectures, 1967, inLectures in Theoretical Physics, Vol.10 A, edited byW. Brittin (New York, 1968), p. 433, especially Sect.8.
H. D. Dahmen andG. Jona-Lasinio:Nuovo Cimento,52 A, 807 (1967);62 A, 889 (1969).
R. Courant andD. Hilbert:Methods of Mathematical Physics, Vol.2, Chap. I and II (New York, 1962).
S. F. Edwards andR. E. Peierls:Proc. Roy. Soc.,224 A, 24 (1954).
B. Zumino:Phys. Fluids,2, 20 (1959).
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Dahmen, H.D., Jona-Lasinio, G. & Tarski, J. The method of characteristics for functional-derivative equations. Nuov Cim A 10, 513–520 (1972). https://doi.org/10.1007/BF02895911
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DOI: https://doi.org/10.1007/BF02895911