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Dirichlet series solutions for certain functional differential equations

Section II

Part of the Lecture Notes in Mathematics book series (LNM,volume 243)

Keywords

  • Recurrence Relation
  • Half Plane
  • Functional Differential Equation
  • Dirichlet Series
  • Monotone Solution

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References

  1. Flamant, P., Sur une équation différentielle fonctionnelle lineaire, Rend. Circ. Mat. Palermo 48 (1924), 135–208.

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  2. Frederickson, P.O., Global Solutions to Certain Nonlinear Functional Differential Equations, J. Math. Anal. Appl., 33 (1971) pp 355–358).

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  3. Gross, F., On a Remark of Utz., Am. Math. Monthly 74 (1967), 1107–08.

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  4. Izumi, S., On the theory of linear functional differential equations, Tohoku Math. J. 30 (1929), 10–18.

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  5. Kato, T., and J.B. McLeod, The Functional Differential Equation y'(x)=ay(λx)+by(x), (to appear).

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  6. Morris, G.R., A. Feldstein, and E.W. Bowen, The Phragmeń-Lindenlöf Principle and a Class of Functional Differential Euquations, Proceedings of the NRL-MRC Conference on Ordinary Differential Euqations, Academic Press, 1972.

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  7. Oberg, R.J., Local Theory of Complex Functional Differential Euqations, Trans. Amer. Math. Society, Nov. 1971, pp 302–327.

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© 1971 Springer-Verlag

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Frederickson, P.O. (1971). Dirichlet series solutions for certain functional differential equations. In: Urabe, M. (eds) Japan-United States Seminar on Ordinary Differential and Functional Equations. Lecture Notes in Mathematics, vol 243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058733

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  • DOI: https://doi.org/10.1007/BFb0058733

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05708-6

  • Online ISBN: 978-3-540-37080-2

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