General boundary conditions for an ordinary linear differential system

Author:
Randal H. Cole

Journal:
Trans. Amer. Math. Soc. **111** (1964), 521-550

MSC:
Primary 34.30

MathSciNet review:
0159979

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**[1]**Randal H. Cole,*The expansion problem with boundary conditions at a finite set of points*, Canad. J. Math.**13**(1961), 462–479. MR**0123768****[2]**Rudolph E. Langer,*The boundary problem of an ordinary linear differential system in the complex domain*, Trans. Amer. Math. Soc.**46**(1939), 151–190 and Correction, 467 (1939). MR**0000084**, 10.1090/S0002-9947-1939-0000084-7**[3]**W. C. Sangren,*Differential equations with discontinuous coefficients*, Oak Ridge National Laboratory Publication, No. 1566 (Physics) (1953).**[4]**F. W. Stallard,*Differential systems with interface conditions*, Oak Ridge National Laboratory Report, ORNL 1876 (1955).**[5]**J. Tamarkin,*Some general problems of the theory of ordinary linear differential equations and expansion of an arbitrary function in series of fundamental functions*, Math. Z.**27**(1928), no. 1, 1–54. MR**1544895**, 10.1007/BF01171084**[6]**William M. Whyburn,*Differential equations with general boundary conditions*, Bull. Amer. Math. Soc.**48**(1942), 692–704. MR**0007192**, 10.1090/S0002-9904-1942-07760-3**[7]**William M. Whyburn,*Differential systems with general boundary conditions*, Univ. California Publ. Math. (N. S.)**2**(1944), 45–61 [No. 1, Seminar Rep. in Math. (Los Angeles)]. MR**0010226****[8]**William M. Whyburn,*Differential systems with boundary conditions at more than two points*, Proceedings of the conference on differential equations (dedicated to A. Weinstein), University of Maryland Book Store, College Park, Md., 1956, pp. 1–21. MR**0082002****[9]**Charles E. Wilder,*Expansion problems of ordinary linear differential equations with auxiliary conditions at more than two points*, Trans. Amer. Math. Soc.**18**(1917), no. 4, 415–442. MR**1501077**, 10.1090/S0002-9947-1917-1501077-6

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DOI:
https://doi.org/10.1090/S0002-9947-1964-0159979-0

Article copyright:
© Copyright 1964
American Mathematical Society