Nonlocal boundary-value problems with partially integral conditions for degenerate differential equations with multiple characteristics
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 17 (2017) no. 3, pp. 37-51

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We study the solvability of new local and nonlocal boundary-value problems for degenerate differential equations with multiple characteristics. For the problems under consideration, we prove the theorems on the existence of regular solutions (which have all generalized Sobolev derivatives occurring in the equation). We give also the possible generalizations and strengthening of the results.
Keywords: degenerate differential equations with multiple characteristics, nonlocal problems, regular solutions
Mots-clés : existence.
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     author = {A. I. Kozhanov and G. A. Lukina},
     title = {Nonlocal boundary-value problems with partially integral conditions for degenerate differential equations with multiple characteristics},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {37--51},
     publisher = {mathdoc},
     volume = {17},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2017_17_3_a4/}
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A. I. Kozhanov; G. A. Lukina. Nonlocal boundary-value problems with partially integral conditions for degenerate differential equations with multiple characteristics. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 17 (2017) no. 3, pp. 37-51. http://geodesic.mathdoc.fr/item/VNGU_2017_17_3_a4/