Fredholm boundary- value problems with parameter in Sobolev— Slobodetsky spaces

Authors

DOI:

https://doi.org/10.15407/dopovidi2021.04.003

Keywords:

inhomogeneous boundary-value problem, continuity of a solution in a parameter, Sobolev—Slobodetskiy space

Abstract

The solutions of linear boundary-value problems for systems of ordinary differential equations, which belong to a given Sobolev —Slobodetsky space Wsp , 1 ≤ p <∞, s >1, are studied. Necessary and sufficient conditions for their continuity in a parameter are found. The applications to multipoint boundary-value problems are obtained.

References

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Mikhailets, V. A. & Skorobohach, T. B. (2020). On solvability of inhomogeneous boundary-value problems in Sobolev—Slobodetskiy spaces. Dopov. Nac. akad. nauk Ukr., No. 4, pp. 10-14. https://doi.org/10.15407/dopovidi2020.04.010

Published

26.08.2021

How to Cite

Mikhailets В., & Skorobohach Т. (2021). Fredholm boundary- value problems with parameter in Sobolev— Slobodetsky spaces. Reports of the National Academy of Sciences of Ukraine, (4), 3–8. https://doi.org/10.15407/dopovidi2021.04.003