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The functional-differential equation y′(x)=ay(λx)+by(x) and generalisations

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Book cover Conference on the Theory of Ordinary and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 280))

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References

  1. T. Kato and J.B. McLeod, "The functional-differential equation y'(x) = ay(λx) + by(x)", Bull. Amer. Math. Soc. 77 (1971), 891–937.

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  2. N.G. de Bruijn, "The difference-differential equation F′(x)=eαx+βF(x-1)′, I,II, Nederl. Akad. Wetensch. Proc. Ser. A56 = Indag. Math. 15 (1953), 449–464.

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  3. _____, "The asymptotically periodic behaviour of the solutions of some linear functional equations", Amer. J. Math. 71 (1949), 313–330.

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Authors
  1. J. B. McLeod
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W. N. Everitt B. D. Sleeman

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© 1972 Springer-Verlag

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McLeod, J.B. (1972). The functional-differential equation y′(x)=ay(λx)+by(x) and generalisations. In: Everitt, W.N., Sleeman, B.D. (eds) Conference on the Theory of Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 280. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066948

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  • DOI: https://doi.org/10.1007/BFb0066948

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05962-2

  • Online ISBN: 978-3-540-37618-7

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