MONOTONE ITERATIVE TECHNIQUE FOR A COUPLED SYSTEM OF FIRST ORDER DIFFERENTIAL EQUATIONS

Authors : Elif DEMİRCİ, Nuri ÖZALP

Pages : 1-10

Doi:10.1501/Commua1_0000000693

View : 19 | Download : 14

Publication Date : 2013-08-01

Article Type : Research Paper

Abstract :By the help of upper and lower solutions, the monoton iterative technique is applied to a coupled system of first order ordinary differential equations with initial conditions depending on a function of end points. Some existence and uniqueness results are obtained. An example for a predator-prey system is given.
Keywords : Monotone technique, upper and lower solutions, existence and uniqueness, predator prey