Singular degenerate problems occuring in bioabsorpsion process

The boundary value problems for singular degenerate high order differential-operator equations with variable coefficients are considered. The uniform coercitivity properties of ordinary and partial differential equations with small parameters are derived in abstract L_{p} spaces. Here it is shown that correspoding differential operators are positive and also are generate analytic semigroups. In application, well-posedeness of Cauchy problem for singular degenerate abstract parabolic equation and systems of parabolic equations are studied in mixed L_{p} spaces. These problems occur in fluid mechanics and enviromental engineering