Abstract: | The Cauchy problem for systems of algebraic-differential equations with constant coefficients, i.e., for systems of ordinary differential equations that cannot be resolved for the highest derivative, both regular of index γ>0 and singular of arbitrary index γ, is considered, Bibliography: 11 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 248, 1998, pp. 70–123. Translated by V. N. Kublanovskaya. |