$R_{\delta}$-set of solutions to a boundary value problem
Keywords
Compact $R_{\delta}$-set, generalized boundary value problem, Fredholm operator, proper mapping, Browder-Gupta theorem, Vidossich theoremAbstract
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.Downloads
Published
2000-09-01
How to Cite
1.
ŠEDA, Valter. $R_{\delta}$-set of solutions to a boundary value problem. Topological Methods in Nonlinear Analysis. Online. 1 September 2000. Vol. 16, no. 1, pp. 93 - 101. [Accessed 23 April 2024].
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