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Nichtselbstadjungierte Differentialoperatoren im nichtkompakten Fall. (Non-selfadjoint differential operators in the non-compact case). (German) Zbl 0316.34023

MSC:

34L99 Ordinary differential operators
34A30 Linear ordinary differential equations and systems
34M99 Ordinary differential equations in the complex domain
47E05 General theory of ordinary differential operators
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References:

[1] Benzinger, H. E.: Equiconvergence for singular differential operators. J. Math. Analysis Appl.32, 338-351 (1970) · Zbl 0208.11103 · doi:10.1016/0022-247X(70)90301-X
[2] 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
[3] Eberhard, W.: ?ber das asymptotische Verhalten von L?sungen der linearen DifferentialgleichungM(y)=?N(y) f?r gro?e Werte von |?|. Math. Z.119, 160-170 (1970) · Zbl 0198.12001 · doi:10.1007/BF01109969
[4] Eberhard, W., Freiling, G.: Nicht-S-hermitesche Rand- und Eigenwertprobleme. Math. Z.133, 187-202 (1973). · Zbl 0255.34007 · doi:10.1007/BF01238037
[5] Funtakov, V.: Expansion in eigenfunctions of a non self-adjoint differential operator of arbitrary even order on the semi axis [0, ?). Izvestija Akad. Nauk Azerbaidz. SSR, Ser. fiz.-tekn. mat. Nauk6, 3-19 (1960)
[6] Kemp, R. R. D.: A singular boundary value problem for a non-self-adjoint differential operator. Canadian J. Math.10, 447-462 (1958). · Zbl 0082.07402 · doi:10.4153/CJM-1958-043-1
[7] ?: On a class of non-self-adjoint differential operators. Canadian J. Math.12, 641-659 (1960) · Zbl 0100.29505 · doi:10.4153/CJM-1960-058-5
[8] Neumark, M. A.: Investigation of the spectrum and the expansion in eigenfunctions of a non-self-adjoint differential operator of the second order on a semi axis. Trudy Moskov. Mat. Ob??.3, 181-270 (1954)
[9] Stone, M. H.: Certain integrals analogous to Fourier integrals. Math. Z.28, 654-676 (1928) · JFM 54.0476.01 · doi:10.1007/BF01181189
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