|Title||THEORETICAL APPROXIMATION METHODS FOR HYBRID DIFFERENTIAL EQUATIONS|
|Publication Type||Journal Article|
|Year of Publication||2011|
|Journal||Dynamic Systems and Applications|
|AMS Subject Classification||39A10|
In this paper, some existence theorems for the extremal solutions are proved for an initial value problem of nonlinear hybrid differential equations via constructive methods. The monotone iterative techniques for initial value problems of first order hybrid differential equations are developed and it is shown that the sequences of successive iterations defined in a certain way converge to the minimal and maximal solutions of the hybrid differential equations.