Linear type differential equations with essentially infinite-dimensional elliptic operator

Statkevich Vitaliy Mykhailovych

Statkevich Vitaliy Mykhailovych ¹

¹ Department of Mathematical Methods of System Analysis, Igor Sikorsky Kyiv Polytechnic Institute, Kyiv, 03056, Ukraine

Keywords: linear type differential equations, infinite-dimensional elliptic operator, a theorem on the existence and uniqueness of a solution

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Abstract

We investigate linear and quasi-linear differential equations with essentially infinite-dimensional elliptic operator (of the Laplace-Lévy type). For a quasi-linear equation, we prove a theorem on the existence and uniqueness of a solution. Also we obtain a parallel with ordinary differential equations and algebraic equations.

References

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Cite

ACS Style: Statkevich, V.M. Linear type differential equations with essentially infinite-dimensional elliptic operator. Bukovinian Mathematical Journal. 2016, 1
AMA Style: Statkevich VM. Linear type differential equations with essentially infinite-dimensional elliptic operator. Bukovinian Mathematical Journal. 2016; 1(3-4).
Chicago/Turabian Style: Vitaliy Mykhailovych Statkevich. 2016. "Linear type differential equations with essentially infinite-dimensional elliptic operator". Bukovinian Mathematical Journal. 1 no. 3-4.

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