On the Unique Solvability of a Nonlinear Nonlocal Boundary-Value Problem for Systems of Second-Order Functional Differential Equations
- Authors: Dilna N.1
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Affiliations:
- Mathematical Institute, Slovak Academy of Sciences
- Issue: Vol 223, No 3 (2017)
- Pages: 257-272
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239340
- DOI: https://doi.org/10.1007/s10958-017-3352-1
- ID: 239340
Cite item
Abstract
We establish some optimal, in a certain sense, general conditions sufficient for the unique solvability of the boundary-value problem for a system of nonlinear second-order functional differential equations. The considered class of equations covers, in particular, equations of the neutral type. Specific example is presented to illustrate the general theory.
About the authors
N. Dilna
Mathematical Institute, Slovak Academy of Sciences
Author for correspondence.
Email: nataliya.dilna@mat.savba.sk
Slovakia, Štefánikova Str., 49, Bratislava, 814 73