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

DOI: 10.2140/pjm.1978.76.397

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) = ∫ _a^b(rx′² − px²)dt.

Mathematical Subject Classification 2000

Primary: 65L10

Milestones

Received: 11 December 1975

Revised: 21 September 1977

Published: 1 June 1978