Bounded L-index in joint variables and analytic solutions of some systems of PDE's in bidisc

Nataliia Petrechko


The linear higher-order systems of PDE's with analytic coefficients in bidisc are considered. We study boundedness of the L-index in joint variables of their analytic solutions, where L(z1,z2)=l1(z1,z2), l2(z1,z2), lj:D2+  is continuous function, j1,2, D2=z1,z2 : z1<1, z2<1. The main tool of investigations is known Hayman's theorem. Some analytic solutions in bidisc for these system of PDE's are given.

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