Geodesic
On a spline-projection method for ill-posed integrodifferential equations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2008), pp. 3-10

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In this paper we consider the general linear boundary value problem for ill-posed integrodifferential equations of an arbitrarily fixed finite order. We theoretically substantiate one version of the general spline-projection method. In particular, the obtained general results allow us to deduce the convergence of the spline methods of collocation and subdomains.
Keywords: Sobolev space, integrodifferential equation, polynomial spline, projection method
Mots-clés : convergence. 
@article{IVM_2008_9_a0,
     author = {Yu. R. Agachev},
     title = {On a spline-projection method for ill-posed integrodifferential equations},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--10},
     publisher = {mathdoc},
     number = {9},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2008_9_a0/}
}
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Yu. R. Agachev. On a spline-projection method for ill-posed integrodifferential equations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2008), pp. 3-10. http://geodesic.mathdoc.fr/item/IVM_2008_9_a0/