Geodesic
Well-posedness of conditionally correct integro-differential equations in new pair of non-weighted Sobolev spaces
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2017), pp. 80-85

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In this paper we investigate the general boundary-value problem for linear integro-differential equations, specified on a segment of the number line where the order of the internal differential operators is of higher order than that of the corresponding exterior differential operator. We prove well-posedness of this problem in the Hadamard sense in new pair of non-weighted Sobolev spaces.
Keywords: Sobolev space, integro-differential equation, general boundary-value problem, well-posedness. 
@article{IVM_2017_8_a7,
     author = {J. R. Agachev and M. Yu. Pershagin},
     title = {Well-posedness of conditionally correct integro-differential equations in new pair of non-weighted {Sobolev} spaces},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {80--85},
     publisher = {mathdoc},
     number = {8},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2017_8_a7/}
}
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J. R. Agachev; M. Yu. Pershagin. Well-posedness of conditionally correct integro-differential equations in new pair of non-weighted Sobolev spaces. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2017), pp. 80-85. http://geodesic.mathdoc.fr/item/IVM_2017_8_a7/