%0 Journal Article %T Singular degenerate problems occuring in bioabsorpsion process %A Veli B Shakhmurov and Aida M Sahmurova %J Boundary Value Problems %D 2013 %I %R 10.1186/1687-2770-2013-30 %X 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 %U http://www.boundaryvalueproblems.com/content/2013/1/30/abstract