Differential systems in Sobolev spaces with generic inhomogeneous boundary conditions
The paper contains a review of results on linear systems of ordinary differential equations of
an arbitrary order on a finite interval with the most general inhomogeneous boundary …
an arbitrary order on a finite interval with the most general inhomogeneous boundary …
Fredholm one-dimensional boundary-value problems in Sobolev spaces
arxiv:1910.09201v1 [math.CA] 21 Oct 2019 Page 1 arxiv:1910.09201v1 [math.CA] 21 Oct
2019 DOI 10.1007/s11253-019-01588-w Ukrainian Mathematical Journal, Vol.70, No.10 …
2019 DOI 10.1007/s11253-019-01588-w Ukrainian Mathematical Journal, Vol.70, No.10 …
Fredholm one-dimensional boundary-value problems with parameter in Sobolev spaces
For systems of linear differential equations on a compact interval, we investigate the~
dependence on a parameter $\varepsilon $ of the solutions to boundary-value problems in …
dependence on a parameter $\varepsilon $ of the solutions to boundary-value problems in …
[PDF][PDF] Limit theorems for solutions of multipoint boundary-value problems in Sobolev spaces
OM Atlasiuk - J. Math. Sci, 2020 - researchgate.net
We consider the most general class of multipoint boundary-value problems for systems of
linear ordinary differential equations of the first order whose solutions belong to the given …
linear ordinary differential equations of the first order whose solutions belong to the given …
[PDF][PDF] Limit theorems for the solutions of boundary-value problems
The question of finding the conditions for the convergence of solutions of systems of ordinary
differential equations arises in many problems of modern analysis and its applications. It …
differential equations arises in many problems of modern analysis and its applications. It …
On Fredholm parameter-dependent boundary-value problem in Sobolev spaces
We consider the most general class of linear inhomogeneous boundary-value problems for
systems of r-th order ordinary differential equations whose solutions and right-hand sides …
systems of r-th order ordinary differential equations whose solutions and right-hand sides …
Solvability of linear boundary-value problems for ordinary differential systems in the space
V Soldatov - arxiv preprint arxiv:2412.20876, 2024 - arxiv.org
We study linear boundary-value problems for systems of first-order ordinary differential
equations with the most general boundary conditions in the normed spaces of continuously …
equations with the most general boundary conditions in the normed spaces of continuously …
FREDHOLM BOUNDARY-VALUE PROBLEM IN SOBOLEV-SLOBODETSKY SPACES.
VA Mikhailets, TB Skorobohach - Ukrainian Mathematical Journal, 2021 - go.gale.com
We study the most general class of linear one-dimensional boundary-value problems whose
solutions range over a given Sobolev-Slobodetsky space. We establish necessary and …
solutions range over a given Sobolev-Slobodetsky space. We establish necessary and …
Spectral properties of nonself-adjoint nonlocal boundary-value problems for the operator of differentiation of even order
YO Baranets' kyi, PI Kalenyuk, LI Kolyasa - Ukrainian Mathematical …, 2018 - Springer
We study spectral properties of an essentially nonself-adjoint problem generated by
nonlocal multipoint conditions for the operator of differentiation of order 2 n and analyze the …
nonlocal multipoint conditions for the operator of differentiation of order 2 n and analyze the …
Limit theorems for the solutions of multipoint boundary-value problems with parameter in Sobolev spaces
OM Atlasiuk - Ukrainian Mathematical Journal, 2021 - Springer
We consider the most general class of multipoint boundary-value problems for systems of
linear ordinary differential equations of any order whose solutions belong to a given Sobolev …
linear ordinary differential equations of any order whose solutions belong to a given Sobolev …