Limit theorems for general one-dimensional boundary-value problems

DOI10.1007/s10958-014-2205-4zbMath1329.34048OpenAlexW2092370368MaRDI QIDQ891705

Vladimir A. Mikhailets, Ganna A. Chekhanova

Publication date: 17 November 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-014-2205-4

zbMATH Keywords

continuity with respect to parameterconvergence of Green matricesgeneral boundary-value problemuniform convergence together with derivatives

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) Linear boundary value problems for ordinary differential equations (34B05) Parameter dependent boundary value problems for ordinary differential equations (34B08)

Related Items (14)

Fredholm boundary-value problems with parameter in Sobolev spaces ⋮ 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 ⋮ 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 ⋮ Limit theorems for the solutions of boundary-value problems ⋮ Spectral properties of nonself-adjoint nonlocal boundary-value problems for the operator of differentiation of even order ⋮ 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

• Solutions of one-dimensional boundary-value problems with a parameter in Sobolev spaces
• Limit theorems for one-dimensional boundary-value problems
• 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
• Criteria of correctness of linear boundary value problems for systems of generalized ordinary differential equations
• Formally self-adjoint quasi-differential operators and boundary value problems
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