A theorem on some linear Hamiltonian systems (Q1374831)
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scientific article; zbMATH DE number 1098665
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A theorem on some linear Hamiltonian systems |
scientific article; zbMATH DE number 1098665 |
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A theorem on some linear Hamiltonian systems (English)
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16 August 1998
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Linear Hamiltonian systems of the form \[ \dot Y = BY+CZ, \qquad \dot Z = -AY-B^TZ \] are studied for real continuous \(n\times n\) matrices \(A(t)=A(t)^T, B(t), C(t)=C(t)^T\) defined on \([0,T]\). These systems have strictly positive kinetic energy. A symmetric function \(t\mapsto \varphi (t)\) is introduced and shown to represent the structure of the solution of the system.
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Hamiltonian systems
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disconjugacy
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