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Stone-reguläre Eigenwertprobleme. (German) Zbl 0363.34021


MSC:

34L99 Ordinary differential operators
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References:

[1] Benzinger, H.E.: Green’s function for ordinary differential operators. J. Differential Equations7, 478-496 (1970) · Zbl 0198.12102 · doi:10.1016/0022-0396(70)90096-3
[2] Benzinger, H.E.: TheL 2 behaviour of eigenfunction expansions. Indiana Univ. Math. J.25, 691-702 (1976) · Zbl 0346.34013 · doi:10.1512/iumj.1976.25.25053
[3] Benzinger, H.E.: TheL p behaviour of eigenfunction expansions. Trans. Amer. Math. Soc.174, 333-344 (1972) · Zbl 0291.34015
[4] Birkhoff, G.D.: On the asymptotic character of the solutions of certain linear differential equations containing a parameter. Trans. Amer. Math. Soc.9, 219-231 (1908) · JFM 39.0386.01 · doi:10.1090/S0002-9947-1908-1500810-1
[5] Birkhoff, G.D.: Boundary value and expansion problems of ordinary linear differential equations. Trans. Amer. Math. Soc.9, 373-395 (1908) · JFM 39.0386.02 · doi:10.1090/S0002-9947-1908-1500818-6
[6] Dunford, N., Schwartz, J.: Linear Operators, Part III. New York-London: Wiley-Interscience 1971 · Zbl 0243.47001
[7] Eberhard, W.: Das asymptotische Verhalten der Greenschen Funktion irregulärer Eigenwertprobleme mit zerfallenden Randbedingungen. Math Z.86, 45-53 (1964) · Zbl 0127.04001 · doi:10.1007/BF01111277
[8] Eberhard, W.: Das asymptotische Verhalten von Lösungen der linearen DifferentialgleichungM(y)=?N(y) für große Werte von ?. Math. Z.119, 160-170 (1971) · Zbl 0198.12001 · doi:10.1007/BF01109969
[9] Eberhard, W., Freiling, G.: Nicht-S-hermitesche Rand- und Eigenwertprobleme. Math. Z.133, 187-202 (1973) · Zbl 0255.34007 · doi:10.1007/BF01238037
[10] Eberhard, W., Freiling, G.: Das Verhalten der Greenschen Matrix und der Entwicklungen nach EigenfunktionenN-regulärer Eigenwertprobleme. Math. Z.136, 13-30 (1974) · Zbl 0265.34033 · doi:10.1007/BF01189253
[11] Freiling, G.: Ein Äquikonvergenzsatz für eine Klasse von singulären Differentialoperatoren. Math. Z.153, 255-265 (1977) · Zbl 0345.34013 · doi:10.1007/BF01214479
[12] Hromov, A.P.: Eigenfunction expansions of ordinary linear differential operators in a finite intervall. Soviet Math., Dokl.3, 1510-1514 (1962) · Zbl 0128.08101
[13] Milne, W.E.: Note on asymptotic expressions in the theory of linear differential equations. Bull. Amer. Math. Soc.23, 166-169 (1917) · JFM 46.0702.04 · doi:10.1090/S0002-9904-1917-02896-0
[14] Neumark, M.A. (Naimark, M.A.): Linear Differential Operators, Part I. New York: Ungar 1967 · Zbl 0219.34001
[15] Stone, M.H.: A comparsion of the series of Fourier and Birkhoff. Trans. Amer. Math. Soc.28, 695-761 (1926) · JFM 52.0456.02 · doi:10.1090/S0002-9947-1926-1501372-6
[16] Stone, M.H.: Irregular differential systems of order two and the related expansion problems. Trans. Amer. Math. Soc.29, 23-53 (1927) · JFM 53.0429.01 · doi:10.1090/S0002-9947-1927-1501375-2
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