Limit theorems for one-dimensional boundary-value problems

DOI10.1007/s11253-013-0766-xzbMath1286.34029OpenAlexW1963690999MaRDI QIDQ384034

N. V. Reva, T. I. Kodlyuk, Vladimir A. Mikhailets

Publication date: 25 November 2013

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

Full work available at URL: https://doi.org/10.1007/s11253-013-0766-x

zbMATH Keywords

continuous dependence of solutionlimit boundary value problemcontinuous dependence of Green's matrixlinear boundary value problemsystem of first order

Mathematics Subject Classification ID

Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Linear boundary value problems for ordinary differential equations (34B05) Parameter dependent boundary value problems for ordinary differential equations (34B08)

Related Items (16)

Fredholm boundary-value problems with parameter in Sobolev spaces ⋮ Convergence and approximation of the Sturm-Liouville operators with potentials-distributions ⋮ On the continuity in a parameter for the solutions of boundary-value problems total with respect to the spaces \(C^{(n+r)}[a, b\)] ⋮ Continuity in the parameter for the solutions of one-dimensional boundary-value problems for differential systems of higher orders in Slobodetskii spaces ⋮ Limit theorems for general one-dimensional boundary-value problems ⋮ The solvability of inhomogeneous boundary-value problems in Sobolev spaces ⋮ On the solvability of Fredholm boundary-value problems in fractional Sobolev spaces ⋮ Limit theorems for the solutions of multipoint boundary-value problems in Sobolev 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 ⋮ Regularization of two-term differential equations with singular coefficients by quasiderivatives ⋮ Limit theorems for the solutions of boundary-value problems ⋮ Fredholm one-dimensional boundary-value problems in Sobolev spaces ⋮ Limit theorems for the solutions of linear boundary-value problems for systems of differential equations ⋮ Fredholm one-dimensional boundary-value problems with parameters in Sobolev spaces ⋮ Approximation properties of solutions to multipoint boundary-value problems

Cites Work

• Regularization of two-term differential equations with singular coefficients by quasiderivatives
• Resolvent convergence of Sturm-Liouville operators with singular potentials
• Some limit theorems for ordinary differential systems
• Continuous parameter dependence in linear systems of differential equations
• Regularization of singular Sturm-Liouville equations
• Continuous dependence of solutions of differential equations on a parameter
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