Vol. 76, No. 2, 1978

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ISSN: 0030-8730
Numerical algorithms for oscillation vectors of second order differential equations including the Euler-Lagrange equation for symmetric tridiagonal matrices

John Gregory

Vol. 76 (1978), No. 2, 397–406
Abstract

We give numerical algorithms for second order differential equations. More specifically we consider the problem of numerically determining oscillation points and vectors for numerical solutions of the equation (r(t)x(t))+ p(t)x(t) = 0 and focal points and vectors for the quadratic form J(x) = ab(rx2 px2)dt.

Mathematical Subject Classification 2000
Primary: 65L10
Milestones
Received: 11 December 1975
Revised: 21 September 1977
Published: 1 June 1978
Authors
John Gregory