Oscillation of self-adjoint linear matrix Hamiltonian systems
Copyright policy )Oscillation of self-adjoint linear matrix Hamiltonian systems
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.
- Guangxi Normal University China (People's Republic of)
- Tsinghua University China (People's Republic of)
Applied Mathematics, oscillation criterion, matrix Hamiltonian system, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Analysis, monotone functional
Applied Mathematics, oscillation criterion, matrix Hamiltonian system, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Analysis, monotone functional
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