Approximate diagonalization in differential systems and an effective algorithm for the computation of the spectral matrix

BM Brown, MSP Eastham, DKR McCormack… - … Proceedings of the …, 1997 - cambridge.org
1. IntroductionIn a recent paper [3], an extended Liouville–Green formulaformula herewas
developed for solutions of the second-order differential equationformula hereHere γM (x)∼ …

A catalogue of HELP and HELP-type integral and series inequalities

M Benammar, C Bennewitz, MJ Beynon… - Recent progress in …, 1998 - Springer
This catalogue of the HELP and HELP-type integral and series inequalities records the
contributions made to this area of analytic inequalties from the years 1971–1996. The …

A general HELP inequality connected with symmetric operators

M Langer - Proceedings of the Royal Society A …, 2006 - royalsocietypublishing.org
In this paper, a general HELP (Hardy–Everitt–Littlewood–Pólya) inequality is considered
which is connected with a symmetric operator in a Hilbert space and abstract boundary …

Computation of the M matrix for fourth-order problems

C Bennewitz, BM Brown, WD Evans… - … of the Royal …, 1996 - royalsocietypublishing.org
This paper is concerned with the numerical computation of the Titchmarsh-Weyl M matrix.
We show how an algorithm may be developed which relates solutions of an initial-value …

[PDF][PDF] The HELP inequality for Hamiltonian systems

BM Brown, WD Evans, M Marletta - 1999 - figshare.le.ac.uk
We extend the Hardy–Everitt–Littlewood–Polya inequality, hitherto established for 2nth
order formally selfadjoint ordinary differential equations, to a wide class of linear …

The HELP type integral inequalities for 2n th order differential operators

BM Brown, NGJ Dias - … Inequalities 7: 7th International Conference at …, 1997 - Springer
The HELP type integral inequalities for 2n th order differential operators Page 1
International Series of Numerical Mathematics, Vol. 123, © 1997 Birkhiiuser Verlag Basel …

Algorithms and software for selfadjoint ODE eigenproblems

CR Maple, M Marletta - … of the 8th International Colloquium on …, 1998 - degruyter.com
Algorithms and Software for Selfadjoint ODE Eigenproblems Page 1 8th Int. Coll. on Differential
Equations, pp. 285-292 D. Bainov (Ed) © VSP 1998 Algorithms and Software for Selfadjoint ODE …

8th Int. Coll. on Differential Equations, pp. 285-292 D. Bainov (Ed) VSP 1998

CR MAPLE, M MARLETTA - Proceedings of the Eighth …, 2020 - books.google.com
8th Int. Coll. on Differential Equations, pp. 285-292 D. Bainov (Ed) VSP 1998 Page 301 8th Int.
Coll. on Differential Equations, pp. 285-292 D. Bainov (Ed) VSP 1998 Algorithms and Software …

On a conjecture of Bennewitz, and the behaviour of the Titchmarsh–Weyl matrix near a pole

BM Brown, M Marletta - … of the Royal Society of London …, 1998 - royalsocietypublishing.org
For any real limit− n 2 n th–order self–adjoint linear differential expression on [0,∞],
Titchmarsh–Weyl matrices M (λ) can be defined. Two matrices of particular interest are the …

[PDF][PDF] Approximate diagonalization in differential systems and an effective algorithm for the computation of the spectral matrix

WD Evans - arxiv preprint math/9801053 - researchgate.net
arxiv:math/9801053v1 [math.SP] 12 Jan 1998 Page 1 arxiv:math/9801053v1 [math.SP] 12
Jan 1998 Approximate diagonalization in differential systems and an effective algorithm for the …