Concerning “various reciprocal theorems and variational principles in the theories of nonlocal micropolar linear elastic mediums

Abstract

In the first part of our paper, we have extended the concepts of the classical convolution and the “convolution scalar product” given by I. Hlavacěk and presented the concepts of the “convolution vector” and the “convolution vector scalar product”, which enable us to extend the initial value as well as the initial-boundary value problems for the equation with the operator coefficients to those for the system of equations with the operator coefficients.