Differentiability with respect to a parameter for a Lotka-Volterra system with delays, via step method

Authors

  • Diana Otrocol Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy, Romania

Keywords:

differential equations, delay, step method
Abstract views: 180

Abstract

In this paper, using the step method, we establish the differentiability with respect to parameter for a Lotka-Volterra system with two delays.

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References

Hale, J., Functional differential equations, Springer-Verlag, New York, Heidelberg, Berlin, 1977.

Hale, J. and Ladeira, L., Differentiability with respect to delays, J. Differential Equations, 92, pp. 14-26, 1991, https://doi.org/10.1016/0022-0396(91)90061-d

Hartman, P., Ordinary differential equations, John Wiley & Sons, Inc., New York, London, Sydney, 1964.

Hokkanen, V. M. and Moroşanu, Gh., Differentiability with respect to delay, Differential Integral Equations, 11, no. 4, pp. 589-603, 1998.

Mureşan, V., Differential equations with linear modified argument, Ph. D. Thesis, "Babeş-Bolyai" University, 1997.

Otrocol, D., Data dependence for the solution of a Lotka-Volterra system with two delays, Mathematica (to appear).

Otrocol, D., Smooth dependence on parameters for some Lotka-Volterra system with delays (to appear).

Rus, I. A., Generalized contractions, Seminar of Fixed Point Theory, "Babeş-Bolyai" University, pp. 1-130, 1983.

Rus, I. A., Functional-differential equation of mixed type, via weakly Picard operators, Seminar of Fixed Point Theory, Cluj-Napoca, 3, pp. 335-346, 2002.

Rus, I. A., Generalized Contractions and Applications, Cluj University Press, 2001.

Şerban, M. A., Fiber ϕ-contractions, Studia Univ. "Babeş-Bolyai", Mathematica, 44, no. 3, pp. 99--108, 1999.

Tămăşan, Al., Note on Differentiability with respect to delay, P.U.M.A., 9, nos. 1-2, pp. 215-220, 1998.

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Published

2006-02-01

How to Cite

Otrocol, D. (2006). Differentiability with respect to a parameter for a Lotka-Volterra system with delays, via step method. Rev. Anal. Numér. Théor. Approx., 35(1), 83–86. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/2006-vol35-no1-art11

Issue

Vol. 35 No. 1 (2006)

Section

Articles

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