Three Positive Periodic Solutions of Nonlinear Functional Differential Equations with Impulse Effects

Lei Wang

doi:10.4028/www.scientific.net/AMR.403-408.1319

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 403-408Three Positive Periodic Solutions of Nonlinear...

Three Positive Periodic Solutions of Nonlinear Functional Differential Equations with Impulse Effects

Abstract:

In this paper, a type of nonlinear functional differential equations with impulse effects are studied by using the Leggett-Williams fixed point theorem.

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Periodical:

Advanced Materials Research (Volumes 403-408)

Pages:

1319-1321

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.403-408.1319

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Online since:

November 2011

Authors:

Lei Wang

Keywords:

Functional Differential Equation, Impulse, Leggett-Williams Fixed Point Theorem, Three Positive Periodic Solutions

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References

[1] D.D. Bainov, P.S. Simeonov, Impulsive Differential Equations: Periodic Solutions and Applications, Longman, Harlow, (1993).

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[2] K. Deimling, Nonlinear Functional Analysis, Springer, NewYork, (1985).

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[3] R.W. Leggett, L.R. Williams, Multiple positive fixed points of nonlinear operators on ordered Banach spaces, Indiana Univ. Math. J. 28 (1979)673-688.

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