Mixed Problems with Integral Conditions for Hyperbolic Equations with the Bessel Operator

Abstract

The paper considers nonlocal problems with integral conditions for hyperbolic equations with the Bessel differential operator whose statement substantially depends on the intervals where the parameter occurring in this operator varies. The well-posedness of these problems is studied according to a unified scheme based on the classical method of separation of variables, which is also used to study nonclassical problems with integral conditions for equations of elliptic–hyperbolic type containing the Bessel operator in one or two variables as well.