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Pathology of infinite systems of linear first order differential equations with constant coefficients. (English) Zbl 0113.06905

Full Text: DOI
[1] W. Feller,An Introduction to Probability Theory and Its Applications. Volume 1, Second Edition, John Wiley & Sons, New York, 1957. · Zbl 0077.12201
[2] E. Hille,The abstract Cauchy problem and Cauchy’s problem for parabolic differential equations. “ Journal d’Analyse Mathématique {”, 3 (1953--54) 81--196. · Zbl 0059.08703 · doi:10.1007/BF02803587
[3] E. Hille,Quelques remarques sur les équations de Kolmogoroff. “ Bull. de la Société des mathématiciens et physiciens de la R. P. de Serbie {”, 5 (1953) 3--14. · Zbl 0053.27203
[4] ---- ----,Remarques sur les systèmes des équations différentielles linéaires à une infinité d’inconnues. “ Journal de Math. pures et appliquées {”. (9) 37 (1958) 375--383.
[5] E. Hille andR.S. Phillips.Functional Analysis and Semi-Groups. “ Colloquium Publications {”, Vol. 31 Revised Edition. Amer. Math. Soc., Providence, R. I., 1958.
[6] W. Ledermann andG.E.H. Reuter,Spectral Theory for the differential equations of simple birth and death processes. “ Phil. Trans. R. Society of London {”, (A) 246 (1954) 321--369. · Zbl 0059.11704 · doi:10.1098/rsta.1954.0001