Vladimir Mikhailets, Olena Atlasiuk, Tetiana Skorobohach
Published 2022-11-15Version 1
Systems of linear ordinary differential equations with the most general inhomogeneous boundary conditions in fractional Sobolev spaces on a finite interval are studied. The Fredholm property of such problems in corresponding pairs of Banach spaces is proved, and their indices and dimensions of kernels and cokernels are found. Examples are given that show the constructive character of the obtained results.
Estimation of parameters of boundary value problems for linear ordinary differential equations with uncertain data
Solvability of Hammerstein integral equations with applications to boundary value problems
On solvability of the most general linear boundary-value problems in spaces of smooth functions
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