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The matrix functional-differential equation y′(x)=Ay(λx)+By(x)

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Ordinary and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 415))

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References

  1. L. Fox, D.F. Mayers, J.R. Ockendon and A.B. Tayler ‘On a functional differential equation’ J. Inst. Math. Appl. 8 (1971) 271–307.

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  2. J.R. Ockendon and A.B. Tayler. ‘The dynamics of a current collection system for an electric locomotive’ Proc. Roy. Soc. Lond. A 322 (1971) 447–468.

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  3. Tosio Kato and J.B. McLeond, ‘The functional-differential equation y′(x) = ay(λx) + by(x)’ Bull. Amer. Math. Soc. 77 (1971), 891–937.

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  4. Tosio Koto ‘Asymptotic behaviour of solutions of the functional-differential equation’ y′(x) = ay(λx) + by(x) O.D.E. 1971 NRL-MRC conference, (proc); ed. by L. Weiss.

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  5. N.G. de Bruijn, ‘The difference-differential equation F′(x)=eαx+β F(x−1), I, II, Nederl. Akad. Wetensch. Proc. Set. A56 = Indag Math. 15 (1953), 449–464.

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Authors
  1. J. Carr
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  2. J. Dyson
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Editor information

B. D. Sleeman I. M. Michael

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© 1974 Springer-Verlag

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Carr, J., Dyson, J. (1974). The matrix functional-differential equation y′(x)=Ay(λx)+By(x). In: Sleeman, B.D., Michael, I.M. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 415. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065543

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  • DOI: https://doi.org/10.1007/BFb0065543

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06959-1

  • Online ISBN: 978-3-540-37264-6

  • eBook Packages: Springer Book Archive

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