Boundary-value problems for differential equations unresolved with respect to the derivative in the space of bounded number sequences |
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| Authors: | A. M. Samoilenko Yu. V. Teplins’kyi V. A. Nedokis |
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| Affiliation: | (1) Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv;(2) Kam’yanets’-Podil’s’kyi University, Kam’yanets’-Podil’s’kyi |
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| Abstract: | We study a nonlinear countable-point boundary-value problem for a differential equation unresolved with respect to the derivative. This equation and a nonlinear boundary condition are defined in the Banach space of bounded number sequences. We study the reducibility of the posed problem to a multipoint boundary-value problem in a finite-dimensional space. __________ Translated from Neliniini Kolyvannya, Vol. 10, No. 3, pp. 391–415, July–September, 2007. |
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