The degenerate Cauchy problem in a Banach space is studied on the basis of properties of an abstract analytical function, satisfying the Hilbert identity, and a related pair of operators A, B.
@article{bwmeta1.element.bwnjournal-article-bcpv37i1p151bwm, author = {Melnikova, Irina}, title = {Properties of an abstract pseudoresolvent and well-posedness of the degenerate Cauchy problem}, journal = {Banach Center Publications}, volume = {37}, year = {1996}, pages = {151-157}, zbl = {0871.46012}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv37i1p151bwm} }
Melnikova, Irina. Properties of an abstract pseudoresolvent and well-posedness of the degenerate Cauchy problem. Banach Center Publications, Tome 37 (1996) pp. 151-157. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv37i1p151bwm/
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