Includes bibliographical references (p. 193-194) and index.
Kapitza's Pendulum and a Related Problem-- Averaging-- Internal Resonance-- SR-Integration of Functions of a Pair of Coupled Variables-- Generalized Ordinary Differential Equations-- SR-Solutions-- Continuous Dependence-- SKH-Integration of Functions of a Pair of Coupled Variables-- Differential Equations in Classical Form-- Integration and Strong Integration-- Integration by Parts-- A Variant of Gronwall Formula-- Linear Generalized Ordinary Differential Equations.
(source: Nielsen Book Data)
This book provides a systematic treatment of the Volterra integral equation by means of a modern integration theory which extends considerably the field of differential equations. It contains many new concepts and results in the framework of a unifying theory. In particular, this new approach is suitable in situations where fast oscillations occur. (source: Nielsen Book Data)