arXiv:1107.4926 Abstract | arXiv Analytics

arXiv:1107.4926 [math.FA]Abstract References Reviews Resources

On the Boundary Value Problem with the Operator in Boundary Conditions for the Operator-Differential Equation of the Third Order

Published 2011-07-25Version 1

In this paper the boundary value problem for one class of the operator-differential equations of the third order on a semi-axis, where one of the boundary conditions is perturbed by some linear operator is researched. There are received sufficient conditions on the operator coefficients of the considered boundary value problem, providing its correct and univalent resolvability in Sobolev type space.

Journal: Journal of Mathematical Physics, Analysis, Geometry, volume 6 (2010), no 4, p. 347-361

Categories: math.FA

Subjects: 34B40, 35J40, 47D03

Keywords: boundary value problem, boundary conditions, operator-differential equation, third order, sobolev type space

Tags: journal article

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