Geodesic
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/}
}
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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/