DIFFERENTIAL EQUATIONS IN THE REAL DOMAIN

By C. MIERS

CONTENTS 1 PRELIMINARIES 2 THE KURZWEIL INTEGRAL 3 MEASURE FUNCTIONAL DIFFERENTIAL EQUATIONS 4 GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS 5 BASIC PROPERTIES OF SOLUTIONS 6 LINEAR GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS 7 CONTINUOUS DEPENDENCE ON PARAMETERS 8 STABILITY THEORY 9 PERIODICITY 10 AVERAGING PRINCIPLES 11 BOUNDEDNESS OF SOLUTIONS 12 CONTROL THEORY 13 DICHOTOMIES 14 TOPOLOGICAL DYNAMICS 15 APPLICATIONS TO FUNCTIONAL DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE REFERENCES