On the Existence and Uniqueness of the Solutions of a System of Non-Linear Differential Equations

Authors

  • Miguel Jose Vivas Cortez {Pontificia Universidad Cat\'{o}lica del Ecuador \\ Facultad de Ciencias Naturales y Exactas \\ Escuela de Ciencias F\'{i}sicas y Mtem\'{a}ticas, Sede Quito, Ecuador.
  • Juan C. Osorio Escuela Superior Politecnica del Litoral (ESPOL)

Keywords:

non-linear systems, differential equations, Volterra Models.
Abstract References How to Cite Downloads

Abstract

In this work we present an existence and uniqueness Theorem for a very especial class of a non-linear system of differential equations which include The Volterra Models.

References

sc F. Montes de Oca and M. Vivas, Extinction in two dimensional Lotka-Volterra system with infinite delay, Non-linear Analysis: Real Word Applications (2006)

F. Montes de Oca and L. Perez, Balancing Survival and Extinction in non-autonomous competitive Lotka-Volterra system with infinite delays, Discrete and Continuos Dynamical Systems Serie B (2015) and periodic solutions of rdinary and

Burton, T.A.(1985) Stability and Periodic Solutions of Ordinary and Functional Differential Equations, Mathematics in Science and Engineering, 178, Academic Press.

Tom Apostol(1957), An'alisis Matem'atico, Editorial Revert'e, S.A., Barcelona

Vivas M., Extinci'on de sistemas del tipo Lotka-Volterra con retardo, Tesis de Maestri'ia UCLA, (2001)

How to Cite

Vivas Cortez, M. J., & Osorio, J. C. (2017). On the Existence and Uniqueness of the Solutions of a System of Non-Linear Differential Equations. Revista MATUA ISSN: 2389-7422, 4(2). Retrieved from https://www.revistasuniatlanticoeduco.biteca.online/index.php/MATUA/article/view/1864

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Published

2017-12-30

Issue

Vol. 4 No. 2 (2017): Revista MATUA

Section

Artículos