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Oscillation of nonlinear second order matrix differential equations

Authors:

Institution:

(1) MIG-II, No.249, Satya Sai Enclave, Bhubaneswar, 751030, Orissa, India;(2) Jawahar Navodaya Vidyalaya, Kendrapara, Orissa, India

Abstract:

In this paper, sufficient conditions are obtained for oscillation of all nontrivial, prepared, symmetric solutions of a class of nonlinear second order matrix differential equations of the form

$(P(t)Y')' + Q(t)F(Y) = 0, t \geqslant 0,$

and

$Y' + Q(t)F(Y) = 0, t \geqslant 0.$

Keywords:

oscillation non-oscillation matrix differential system nonlinear equation self-adjoint second order

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