CONTINUOUS DEPENDENCE OF SOLUTIONS OF COUPLED SYSTEMS OF STATE DEPENDENT FUNCTIONAL EQUATIONS
Concerned with some coupled systems of self referred or state dependent functional equations, we establish the existence of a unique solution for two state dependent coupled systems of functional equations by using the contraction mapping principle. Also, the continuous dependence of solutions of this coupled system on the state argument is discussed and an example is presented to verify our results.
state dependent functional equation, continuous solutions, coupled system, continuous dependence.