Degenerate nonlinear boundary-value problems
Abstract
We establish necessary and sufficient conditions for the existence of solutions of weakly nonlinear degenerate boundary-value problems for systems of ordinary differential equations with a Noetherian operator in the linear part. We propose a convergent iterative procedure for finding solutions and establish the relationship between necessary and sufficient conditions.
English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 9, pp 1387-1403.
Citation Example: Boichuk О. A., Shehda L. M. Degenerate nonlinear boundary-value problems // Ukr. Mat. Zh. - 2009. - 61, № 9. - pp. 1174-1188.
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