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On the set of periodic solutions of differential equations of Riccati type

Published online by Cambridge University Press:  20 January 2009

H.S. Hassan
H.S. Hassan
Affiliation:
Department of MathematicsUniversity of BirminghamP.O. Box 363, Edgbaston Birmingham. B152TT
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The purpose of this paper is to expand upon the results obtained in [4]. We consider the set H of differential equations

where p and r are continuous real-valued functions of period ω (ω being fixed throughout). The equation (1.1) is denoted by P or (p,r), and we regard H as the set of pairs of continuous functions of period ω.On H we define a norm:

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 27 , Issue 2 , June 1984 , pp. 195 - 208
Copyright
Copyright © Edinburgh Mathematical Society 1984

References

REFERENCES

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4.Lloyd, N. G., On a class of differential equations of Riccati type, J. London Math. Soc. (2) 10 (1975), 1–10.CrossRefGoogle Scholar
5.Lloyd, N. G., Degree Theory (Cambridge University Press, 1978).Google Scholar