S. V. Zhestkov, P. P. Zabreiko, “On the nonlocal solvability of the Cauchy problem for a matrix system of partial differential equations of Fedorov–Bernulli type”, Tr. Inst. Mat., 2006, Volume 14, Number 2,Pages <nobr>48

On the nonlocal solvability of the Cauchy problem for a matrix system of partial differential equations of Fedorov–Bernulli type

S. V. Zhestkov^a, P. P. Zabreiko^b

^a The Institute of Metal Technology of the National Academy of Sciences of Belarus, Mogilyov
^b Institute of Mathematics of the National Academy of Sciences of Belarus

Abstract: The nonlocal solvability of the Cauchy problem for a matrix system of partial differential equations of Fedorov–Bernulli type is established. The existence of an invariant Banach space for this system is proved.

UDC: 517.955

Received: 05.12.2005