## Pacific Journal of Mathematics

- Pacific J. Math.
- Volume 10, Number 1 (1960), 17-34.

### Spectral theory for linear systems of differential equations.

**Full-text: Open access**

#### Article information

**Source**

Pacific J. Math., Volume 10, Number 1 (1960), 17-34.

**Dates**

First available in Project Euclid: 14 December 2004

**Permanent link to this document**

https://projecteuclid.org/euclid.pjm/1103038626

**Mathematical Reviews number (MathSciNet)**

MR0124566

**Zentralblatt MATH identifier**

0188.46302

**Subjects**

Primary: 34.30

#### Citation

Brauer, Fred. Spectral theory for linear systems of differential equations. Pacific J. Math. 10 (1960), no. 1, 17--34. https://projecteuclid.org/euclid.pjm/1103038626

#### References

- [1] G. A. Bliss, A bou7idaryvalue problem for a system of ordinary differential equa- tions of the first order, Trans. Amer. Math. Soc. 28 (1926), 561-584.
- [2] G. A. Bliss, Definitely self-adjoint boundary value problems, Trans. Amer. Math. Soc. 44 (1938), 413-428.
- [3] F. Brauer, Spectral theory for the differential equation Lu = Mu, Can. J. Math. 1O (1958), 431-446.
- [4] E. A. Coddington, The spectral representation of ordinary differential operators, Ann. of Math. 60 (1954), 192-211.
- [5] E. A. Coddington and N. Levinson, Theory of ordinary differential equations, (New
- [6] S. D. Conte and W. C. Sangren, An expansion theorem for a pair of singularfirst order equations, Can. J. Math. 6 (1954), 554-560.
- [7] L. Garding, Applications of the theory of direct integrals of Hilbert spaces to some integral and differential operators, Institute for Fluid Dynamics and Applied Mathematics, University of Maryland, 1954.
- [8] W. T. Reid, A class of two-point boundary problems, 111. J. Math. 2. (1958), 434-453.
- [9] F. Riesz and B. Sz. Nagy, Functional analysis, (New York, 1955).Mathematical Reviews (MathSciNet): MR17:175i

#### Pacific Journal of Mathematics, A Non-profit Corporation

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