Eigenfunction Expansions: A Discontinuous Version

DOI10.1137/0150054zbMath0698.34020OpenAlexW2065382061MaRDI QIDQ3475577

Mei Kobayashi

Publication date: 1990

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0150054

zbMATH Keywords

algorithmsecond-order differential equationseigenfunctionsSturm-Liouville problem

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Inverse problems involving ordinary differential equations (34A55) Eigenvalue problems for integral equations (45C05) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Related Items (9)

Sturm-Liouville problem with moving discontinuity points ⋮ Riesz basisness of root functions of a Sturm-Liouville operator with conjugate conditions ⋮ On the Riesz basisness of root functions of a Sturm-Liouville operator with conjugate conditions ⋮ Sampling theory for Sturm-Liouville problem with boundary and transmission conditions containing an eigenparameter ⋮ A sinc-Gaussian solver for general second order discontinuous problems ⋮ A sampling theorem for transforms with discontinuous kernels ⋮ Kramer's sampling theorem with discontinuous kernels ⋮ Comments on eigenfunction expansions of discontinuous Sturm-Liouville systems ⋮ Discontinuous boundary-value problems: expansion and sampling theorems

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