Displaying similar documents to “On transformations of self-adjoint linear differential systems and their reciprocals”

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

Qigui Yang (2002)

Annales Polonici Mathematici

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By using the generalized Riccati technique and the averaging technique, we establish new oscillation criteria for the second order self-adjoint matrix differential system with damping (P(t)Y'(t))' + r(t)P(t)Y'(t) + Q(t)Y(t) = 0, t ≥ t₀. The criteria are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of [t₀,∞), rather than on the whole half-line. In particular, our results complement...

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.