Riccati matrix differential equation and classification of disconjugate differential systems

 Access to full text

 Full (PDF)

1. E. Barvínek, Quadratic phases of differential equations y" + q(x) y = 0, Arch. Math. 8 (1972), 63-78. (1972) MR0326037
2. J. H. Barrett, A Prüfer transformation of matrix differential equations, Proc. Amer. Math. Soc. 8 (1957), 510-518. (1957) MR0087821
3. O. Borůvka, Lineare Differentialtransformationen 2. Ordnung, VEB Deutscher Verlag der Wissenschaften, Berlin 1967. (1967) MR0236448
4. W. A. Coppel, Disconjugacy, Lectures Notes in Mathematics 220, Springer Verlag, Berlin-New York-Heidelberg 1971. (1971) Zbl0224.34003MR0460785
5. O. Došlý, On transformation of self-adjoint linear differential systems and their reciprocals, to appear. MR2170475
6. P. Hartman, Self-adjoint, nonoscillatory systems of ordinary, second order, linear equations, Duke J. Math. 24 (1957), 25-35. (1957) MR0082591
7. W. T. Reid, A Prüfer transformation for matrix differential systems, Pacific J. Math. 8 (1958), 575-584. (1958) MR0099474
8. W. T. Reid, Sturmian Theory for Ordinary Differential Equations, John Wiley, New York 1980 Zbl0459.34001MR0606199
9. R. L. Sternberg, Variational methods and non-oscillatory theorems for systems of differential equations, Duke J. Math. 19 (1952), 311-322. (1952) MR0048668

1. Ondřej Došlý, On the existence of conjugate points for linear differential systems
2. Ondřej Došlý, The multiplicity criteria for zero points of second order differential equations
3. Ondřej Došlý, On some problems in the oscillation theory of self-adjoint linear differential equations