|Title||NONLINEAR QUADRATIC FIRST ORDER FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH PERIODIC BOUNDARY CONDITIONS|
|Publication Type||Journal Article|
|Year of Publication||2009|
|Journal||Dynamic Systems and Applications|
|AMS Subject Classification||34K10|
In this paper, an existence theorem for the periodic boundary value problems of first order quadratic functional integro-differential equations is proved via a fixed point theorem in Banach algebras and under some mixed generalized Lipschitz and Carath´eodory conditions. The existence theorems for extremal positive solutions are also proved under certain monotonicity conditions.