Solvability of a Boundary-Value Problem with an Integral Boundary Condition of the Second Kind for Equations of Odd Order
Matematičeskie zametki, Tome 88 (2010) no. 2, pp. 163-172
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We study the solvability of a boundary-value problem for equations of odd order subject to a boundary condition relating the values of the conormal derivative with those of an integral operator applied to the solution. We prove the existence and uniqueness theorems for regular solutions.
Keywords:
boundary-value problem, integral boundary condition of the second kind, differential operator, conormal derivative, Hölder's inequality, Young's inequality.
@article{MZM_2010_88_2_a0,
author = {A. M. Abdrakhmanov},
title = {Solvability of a {Boundary-Value} {Problem} with an {Integral} {Boundary} {Condition} of the {Second} {Kind} for {Equations} of {Odd} {Order}},
journal = {Matemati\v{c}eskie zametki},
pages = {163--172},
publisher = {mathdoc},
volume = {88},
number = {2},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2010_88_2_a0/}
}
TY - JOUR AU - A. M. Abdrakhmanov TI - Solvability of a Boundary-Value Problem with an Integral Boundary Condition of the Second Kind for Equations of Odd Order JO - Matematičeskie zametki PY - 2010 SP - 163 EP - 172 VL - 88 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2010_88_2_a0/ LA - ru ID - MZM_2010_88_2_a0 ER -
%0 Journal Article %A A. M. Abdrakhmanov %T Solvability of a Boundary-Value Problem with an Integral Boundary Condition of the Second Kind for Equations of Odd Order %J Matematičeskie zametki %D 2010 %P 163-172 %V 88 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_2010_88_2_a0/ %G ru %F MZM_2010_88_2_a0
A. M. Abdrakhmanov. Solvability of a Boundary-Value Problem with an Integral Boundary Condition of the Second Kind for Equations of Odd Order. Matematičeskie zametki, Tome 88 (2010) no. 2, pp. 163-172. http://geodesic.mathdoc.fr/item/MZM_2010_88_2_a0/