Geodesic
The Cauchy Problem for Certain Systems of Operator-Differential Equations of Arbitrary Order in Locally Convex Spaces
Matematičeskie zametki, Tome 90 (2011) no. 2, pp. 183-198

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We describe an analog of the Cauchy–Kovalevskaya sufficient conditions for the analytic solvability of the Cauchy problem for systems of operator-differential equations of arbitrary order in locally convex spaces; this analog is stated in terms of the order and type of the linear operator.
Keywords: Cauchy problem, operator-differential equation, locally convex space, linear operator, polycylinder, multiple power series
Mots-clés : Cauchy–Kovalevskaya sufficient conditions, Cauchy–Hadamard formula. 
@article{MZM_2011_90_2_a2,
     author = {N. A. Aksenov},
     title = {The {Cauchy} {Problem} for {Certain} {Systems} of {Operator-Differential} {Equations} of {Arbitrary} {Order} in {Locally} {Convex} {Spaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {183--198},
     publisher = {mathdoc},
     volume = {90},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_90_2_a2/}
}
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N. A. Aksenov. The Cauchy Problem for Certain Systems of Operator-Differential Equations of Arbitrary Order in Locally Convex Spaces. Matematičeskie zametki, Tome 90 (2011) no. 2, pp. 183-198. http://geodesic.mathdoc.fr/item/MZM_2011_90_2_a2/