Nonlinear Noetherian Second-Order Boundary-Value Problems in the Critical Case

We establish necessary and sufficient conditions for the existence of solutions of a weakly nonlinear Noetherian boundary-value problem for a system of second-order ordinary differential equations in the critical case.

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2014-04, Vol.198 (3), p.351-360
Main Authors: Chuiko, S. M., Boichuk, An. A., Boichuk, I. A.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Description
Summary:We establish necessary and sufficient conditions for the existence of solutions of a weakly nonlinear Noetherian boundary-value problem for a system of second-order ordinary differential equations in the critical case.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-014-1795-1