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

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

MathSciNet review:
0159979

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References | Similar Articles | Additional Information

**[1]**R. H. Cole,*The expansion problem with boundary conditions at a finite set of points*, Canad. J. Math.**13**(1961), 462-479. MR**0123768 (23:A1090)****[2]**R. E. Langer,*The boundary problem of an ordinary linear differential system in the complex domain*, Trans. Amer. Math. Soc.**46**(1939), 151-190. MR**0000084 (1:15f)****[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), 1-54. MR**1544895****[6]**W. M. Whyburn,*Differential equations with general boundary conditions*, Bull. Amer. Math. Soc.**48**(1942), 692-704. MR**0007192 (4:100b)****[7]**-,*Differential systems with general boundary conditions*, Seminar Reports in Mathematics, University of California Publications in Mathematics**2**(1944), 45-61. MR**0010226 (5:265a)****[8]**-,*Differential systems with boundary conditions at more than two points*, Proceedings of the Conference on Differential Equations, University of Maryland (March 17-19, 1955), pp. 1-21, University of Maryland Bookstore, College Park, Md., 1956. MR**0082002 (18:481f)****[9]**C. E. Wilder,*Expansion problems of ordinary linear differential equations with auxiliary conditions at more than two points*, Trans. Amer. Math. Soc.**18**(1917), 415-442. MR**1501077**

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

Article copyright:
© Copyright 1964
American Mathematical Society