Oscillation of self-adjoint linear matrix Hamiltonian systems (Q1876733)
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scientific article; zbMATH DE number 2093820
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Oscillation of self-adjoint linear matrix Hamiltonian systems |
scientific article; zbMATH DE number 2093820 |
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Oscillation of self-adjoint linear matrix Hamiltonian systems (English)
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20 August 2004
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The author establishes oscillation criteria for the Hamiltonian system \[ X'(x)=A(x)X(x)+B(x)Y(x), \quad Y'(x)=C(x)X(x)-A^*(x)Y(x). \] The obtained criteria are of the form \[ \limsup_{x\to\infty}q\left(\int_r^x \left[\Phi(x,s,r) T(s)+J_0(x,s,r)\right]ds\right)>q(0), \] where \(q\) is a monotone functional.
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matrix Hamiltonian system
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oscillation criterion
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monotone functional
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