Nonclassical Linear Volterra Equations of the First Kind

This monograph in the Inverse and Ill-Posed Problems Series deals with linear integral Volterra equations of the first kind with variable upper and lower limits of integration. Volterra operators of this type are the basic operators for integral models of dynamic systems.The corresponding conventionally well-posed problems were subject of systematic study: existence and uniqueness theorems were proved, estimates of the inverse operator norms for suitable pairs of functional spaces were obtained, etc. Consideration was also given to quadrature methods for the numerical solution of such equations with emphasis on their specific features, as opposed to classical algorithms. Results of computations for the modelled examples are presented.This book is intended for specialists in computer mathematics, inverse and ill-posed problems, and mathematical modelling.Apartsyn, A. S. is the author of 'Nonclassical Linear Volterra Equations of the First Kind' with ISBN 9789067643757 and ISBN 9067643750.