On the continuity in a parameter for the solutions of boundary-value problems total with respect to the spaces \(C^{(n+r)}[a, b]\)

DOI10.1007/S11253-015-1114-0zbMath1353.34021OpenAlexW2253943872MaRDI QIDQ326010

V. O. Soldatov

Publication date: 12 October 2016

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-015-1114-0

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Applications of operator theory to differential and integral equations (47N20) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (4)

Continuity in the parameter for the solutions of one-dimensional boundary-value problems for differential systems of higher orders in Slobodetskii spaces ⋮ Continuity of the solutions of one-dimensional boundary-value problems with respect to the parameter in the Slobodetskii spaces ⋮ Continuity of the solutions of one-dimensional boundary-value problems in Hölder spaces with respect to the parameter ⋮ Approximation properties of solutions to multipoint boundary-value problems

Cites Work

• Solutions of one-dimensional boundary-value problems with a parameter in Sobolev spaces
• Limit theorems for one-dimensional boundary-value problems
• The refined Sobolev scale, interpolation and elliptic problems
• Limit theorems for general one-dimensional boundary-value problems
• Theory of function spaces
• Regularization of two-term differential equations with singular coefficients by quasiderivatives
• On boundary value problems for linear differential systems with singularities
• Resolvent convergence of Sturm-Liouville operators with singular potentials
• Hörmander spaces, interpolation, and elliptic problems. Transl. from the Russian by Peter V. Malyshev
• Fredholm boundary-value problems with a parameter on the spaces C⁽ⁿ⁾[a, b]
• Regularization of singular Sturm-Liouville equations
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