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A limit theorem for matrix-solutions of Hamiltonian systems

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Publication:1122690
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DOI10.1007/BF02844900zbMath0676.34008MaRDI QIDQ1122690

Werner Kratz

Publication date: 1987

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)


zbMATH Keywords

Hamiltonian systemsRiccati matrix equations


Mathematics Subject Classification ID

Hamilton's equations (70H05) Linear ordinary differential equations and systems (34A30) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)


Related Items (1)

A general oscillation theorem for self-adjoint differential systems with applications to Sturm-Liouville eigenvalue problems and quadratic functionals



Cites Work

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  • Sturmian theory for ordinary differential equations
  • Comparison theorems for eigenvalues
  • Riccati differential equations
  • A TREATMENT OF STURM-LIOUVILLE EIGENVALUE PROBLEMS VIA PICONE'S IDENTITY
  • A Substitute of L'Hospital's Rule for Matrices
  • A Dichotomy of PDE Sturmian Theory
  • The Picone identity for self‐adjoint differential equations of even order
  • Oscillation Criteria for Nonlinear Matrix Differential Equations
  • A substitute for the Picone formula


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