Half-range solutions of indefinite Sturm-Liouville problems

M. Klaus; C. V.M. van der Mee; V. Protopopescu

doi:10.1016/0022-1236(87)90113-3

Half-range solutions of indefinite Sturm-Liouville problems

M. Klaus
, C. V.M. van der Mee
, V. Protopopescu

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

For diffusion equations of indefinite Sturm-Liouville type, we develop two equivalent methods of constructing explicit representations for the solutions. The first method is based on an eigenfunction expansion whereas the second uses a Wiener-Hopf-type integral equation and factorization. Some illustrative examples are worked out.

Original language	English
Pages (from-to)	254-288
Number of pages	35
Journal	Journal of Functional Analysis
Volume	70
Issue number	2
DOIs	https://doi.org/10.1016/0022-1236(87)90113-3
State	Published - Feb 1987

Funding

wishes to acknowledge illuminating discussions with in Spring 1983; his research was supported in part by U.S.A. DE-AS05 80ER10711-1 and National Science Foundation

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10.1016/0022-1236(87)90113-3

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title = "Half-range solutions of indefinite Sturm-Liouville problems",

abstract = "For diffusion equations of indefinite Sturm-Liouville type, we develop two equivalent methods of constructing explicit representations for the solutions. The first method is based on an eigenfunction expansion whereas the second uses a Wiener-Hopf-type integral equation and factorization. Some illustrative examples are worked out.",

author = "M. Klaus and \{van der Mee\}, \{C. V.M.\} and V. Protopopescu",

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AU - Klaus, M.

AU - van der Mee, C. V.M.

AU - Protopopescu, V.

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N2 - For diffusion equations of indefinite Sturm-Liouville type, we develop two equivalent methods of constructing explicit representations for the solutions. The first method is based on an eigenfunction expansion whereas the second uses a Wiener-Hopf-type integral equation and factorization. Some illustrative examples are worked out.

AB - For diffusion equations of indefinite Sturm-Liouville type, we develop two equivalent methods of constructing explicit representations for the solutions. The first method is based on an eigenfunction expansion whereas the second uses a Wiener-Hopf-type integral equation and factorization. Some illustrative examples are worked out.

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U2 - 10.1016/0022-1236(87)90113-3

DO - 10.1016/0022-1236(87)90113-3

M3 - Article

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VL - 70

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JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 2

ER -

Half-range solutions of indefinite Sturm-Liouville problems

Abstract

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