Abstract
We study the existence of solutions continuously depending on a parameter for higher-order nonlinear ordinary differential equations with linear boundary conditions. In particular, we prove a theorem of Fredholm type providing tests for the unique solvability of this problem.
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Original Russian Text © I.T. Kiguradze, T.I. Kiguradze, 2017, published in Differentsial’nye Uravneniya, 2017, Vol. 53, No. 8, pp. 1024–1032.
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Kiguradze, I.T., Kiguradze, T.I. Analog of the first Fredholm theorem for higher-order nonlinear differential equations. Diff Equat 53, 996–1004 (2017). https://doi.org/10.1134/S0012266117080043
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DOI: https://doi.org/10.1134/S0012266117080043