Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleSmooth Solutions of a Class of Iterative Functional Differential Equations.AuthorsHouyu ZhaoAbstractBy Faà di Bruno's formula, using the fixed-point theorems of Schauder and Banach, we study the existence and uniqueness of smooth solutions of an iterative functional differential equation x'(t) = 1/(c0x[0](t) + c1x[1](t)+ ...+ cmx[m](t)).SubjectsNUMERICAL solutions to functional differential equations; ITERATIVE methods (Mathematics); FIXED point theory; UNIQUENESS (Mathematics); SMOOTHNESS of functions; MATHEMATICAL formulas; NUMERICAL analysisPublicationAbstract & Applied Analysis, 2012, p1ISSN1085-3375Publication typeArticleDOI10.1155/2012/954352