Construction and calculation of reproducing kernel determined by various linear differential operators

DOI10.1016/J.AMC.2009.05.063zbMath1181.46019OpenAlexW2051045207MaRDI QIDQ732417

Xinjian Zhang, Han Long

Publication date: 9 October 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.05.063

zbMATH Keywords

interpolationGreen's functioninitial value problemreproducing kernelreproducing kernel Hilbert spacelinear differential operatorlinear difference operator

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Ordinary differential operators (34L99)

Related Items (4)

The isometric identities and inversion formulas of complex continuous wavelet transforms ⋮ Solving singular second-order initial/boundary value problems in reproducing kernel Hilbert space ⋮ A numerical algorithm for solving a four-point nonlinear fractional integro-differential equations ⋮ A novel approach to calculation of reproducing kernel on infinite interval and applications to boundary value problems

Cites Work

• Solving singular nonlinear second-order periodic boundary value problems in the reproducing kernel space
• On the recurrence relations for B-splines defined by certain L-splines
• SOLVING SINGULAR NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS IN THE REPRODUCING KERNEL SPACE
• Computing Reproducing Kernels with Arbitrary Boundary Constraints
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