A Prüfer transformation for matrix differential equations

Author:
John H. Barrett

Journal:
Proc. Amer. Math. Soc. **8** (1957), 510-518

MSC:
Primary 34.0X

DOI:
https://doi.org/10.1090/S0002-9939-1957-0087821-7

MathSciNet review:
0087821

Full-text PDF

References | Similar Articles | Additional Information

**[1]**J. H. Barrett,*Behavior of solutions of second order self-adjoint differential equations*, Proc. Amer. Math. Soc. vol. 6 (1955) pp. 247-251. MR**0070804 (17:37f)****[2]**-,*Matrix systems of second order differential equations*, Portugaliae Mathematica, vol. 14 (1955) pp. 79-89. MR**0080219 (18:211d)****[3]**R. A. Moore,*The behavior of a linear differential equation of second order*, Pacific J. Math. vol. 5 (1955) pp. 125-145. MR**0068690 (16:925b)****[4]**M. Morse,*Calculus of variations in the large*, New York, 1934.**[5]**W. T. Reid,*A matrix differential equation of the Riccati type*, Amer. J. Math. vol. 68 (1946) pp. 237-246. MR**0015610 (7:446a)****[6]**R. L. Sternberg,*Variational methods and non-oscillation theorems for systems of differential equations*, Duke Math. J. vol. 19 (1952) pp. 311-322. MR**0048668 (14:50c)**

Retrieve articles in *Proceedings of the American Mathematical Society*
with MSC:
34.0X

Retrieve articles in all journals with MSC: 34.0X

Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1957-0087821-7

Article copyright:
© Copyright 1957
American Mathematical Society