Geodesic
Nonlocal problems with an integral boundary condition for the differential equations of odd order
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 452-466

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We study the solvability of nonlocal problems for equations $$u_{ttt} + Au=f(x,t)$$ ($0$, $A$ — elliptic operator) with only two boundary conditions instead of three and with a special integral boundary condition. We prove the existence theorems for regular solutions and indicate a possible generalization of the obtained results.
Keywords: nonlocal problem, integral condition, odd order differential equation, regular solution
Mots-clés : existence. 
@article{SEMR_2016_13_a75,
     author = {A. I. Kozhanov and G. A. Lukina},
     title = {Nonlocal problems with an integral boundary condition for the differential equations of odd order},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {452--466},
     publisher = {mathdoc},
     volume = {13},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a75/}
}
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A. I. Kozhanov; G. A. Lukina. Nonlocal problems with an integral boundary condition for the differential equations of odd order. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 452-466. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a75/