ABSTRACT

In this chapter, we consider the mixed boundary-value problems in the quarter of the

space for equations not solved relative to the higher-order time-derivative

and systems with a singular matrix at the time-derivative

We study the mixed problems for two classes of equations mentioned in Chapter 2 (simple Sobolev-type equations and pseudoparabolic equations) and for two classes of systems mentioned in Chapter 3. The theory of boundary-value problems for pseudohyperbolic equations is more complicated and is not developed yet.