Geodesic
Global solvability of some semilinear equations of Sobolev type
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 12 (2010), pp. 80-87

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In the work existence of unique strong solution on the given segment of the Cauchy and Showalter problems for two classes of semilinear differential first order equations in Banach spaces unsolved with respect to the derivative is shown with using of methods of degenerate operator semigroups theory. Abstract results are illustrated on the example of semilinear Dzektser equation.
Mots-clés : Sobolev type equation
Keywords: semilinear equation, strong solution, operator semigroup. 
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     author = {V. E. Fedorov and P. N. Davydov},
     title = {Global solvability of some semilinear equations of {Sobolev} type},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {80--87},
     publisher = {mathdoc},
     number = {12},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VCHGU_2010_12_a9/}
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V. E. Fedorov; P. N. Davydov. Global solvability of some semilinear equations of Sobolev type. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 12 (2010), pp. 80-87. http://geodesic.mathdoc.fr/item/VCHGU_2010_12_a9/