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

DOI10.1098/RSPA.1998.0213zbMath0915.34020arXivmath/9801051OpenAlexW2159848931WikidataQ123347233 ScholiaQ123347233MaRDI QIDQ4223966

Marco Marlettta, B. Malcolm Brown

Publication date: 8 July 1999

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9801051

zbMATH Keywords

numerical integrationHamiltonian systemsDirichlet and Neumann boundary conditionsTitchmarsh-Weyl matrixHELP inequalityapproximating Laurent coefficientsconjecture of Bennewitzresidue inequality

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

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