ABSTRACT

Some applications of partial integral equations will be studied in § 20 in order to illustrate our abstract mathematical results. Since these equations are the result of a mathematical modelling process, it is clear that the data involved (kernel functions, multiplicator functions, inhomogeneities, numerical parameters etc.) have a precise, say, physical or biological meaning. Consequently, one should expect that also the results which are provided by the mathematical theory have then a physical or biological interpretation. However, the sample results we are going to discuss in the last sections of this book are certainly far from being exhaustive, and we strongly believe that this may be a source of an extensive and fruitful research in the future.