Interval oscillation criteria for second order self-adjoint matrix differential systems with damping

Qigui Yang

Displaying similar documents to “Interval oscillation criteria for second order self-adjoint matrix differential systems with damping”

Interval criteria for oscillation of second order self-adjoint matrix differential systems

Qi-Ru Wang (2003)

Annales Polonici Mathematici

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By employing the matrix Riccati technique and the integral averaging technique, new interval oscillation criteria are established for second-order matrix differential systems of the form [P(t)Y']' + Q(t)Y = 0.

Kamenev type oscillation criteria for second order matrix differential systems with damping

Qi-gui Yang, Sui Sun Cheng (2005)

Annales Polonici Mathematici

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By using monotone functionals and positive linear functionals on a suitable matrix space, new oscillation criteria for second order self-adjoint matrix differential systems with damping are given. The results are extensions of the Kamenev type oscillation criteria obtained by Wong for second order self-adjoint matrix differential systems with damping. These extensions also include an earlier result of Erbe et al.

Oscillation theory of self-adjoint equations and some its applications

Došlý, Ondřej

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Linearization technique for oscillation of perturbed half-linear differential equations

Manabu Naito (2025)

Archivum Mathematicum

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It is shown that oscillation of perturbed second order half-linear differential equations can be derived from oscillation of second order linear differential equations associated with modified Riccati equations. In the main result of the present paper, some of technical assumptions in the known results of this type are removed.