$R_{\delta}$-set of solutions to a boundary value problem
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Compact $R_{\delta}$-set, generalized boundary value problem, Fredholm operator, proper mapping, Browder-Gupta theorem, Vidossich theoremAbstrakt
In the paper a sufficient condition for the existence of an $R_{\delta}$-set of solutions to a generalized boundary value problem on a compact interval is established. The proof is based on the Browder-Gupta theorem on the existence of an $R_{\delta}$-set of solutions of an operator equation and on the relation between boundary value problems and Fredholm operators. Similar result is obtained by means of the Vidossich theorem.Pobrania
Opublikowane
2000-09-01
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1.
ŠEDA, Valter. $R_{\delta}$-set of solutions to a boundary value problem. Topological Methods in Nonlinear Analysis [online]. 1 wrzesień 2000, T. 16, nr 1, s. 93–101. [udostępniono 22.7.2024].
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