On continuous solutions of a class of systems of nonlinear functional difference equations with deviating argument

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a b s t r a c t Bounded continuous solutions on R þ of a class of systems of nonlinear functional difference equations with a complicated nonlinear deviation of the argument that depends on unknown functions are studied here. Nonlinear discrete or continuous difference equations had been studied simultaneously for a long time. For some classical results see, e.g., [18]. In the last few decades there is more interest in studying discrete difference equations or systems and the references therein). Here we study a system of functional difference equations with continuous argument. Numerous special cases of the nonlinear system of functional difference equations of the next type