ABSTRACT

Grisvard’s operational approach to handle operator equations is suitably modified to solve the equation https://www.w3.org/1998/Math/MathML"> T M v - L v = f https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429165573/1ee49896-b2da-407e-820b-552c3e0f3cfb/content/eq1814.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> under growth conditions for the resolvent (λM − L)−1 that allow application to degenerate differential equations of hyperbolic type and of singular type as well.