Oscillatory properties of nonlinear differential systems with retarded arguments
Rudolf Olach, Helena Šamajová (2005)
Mathematica Slovaca
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Rudolf Olach, Helena Šamajová (2005)
Mathematica Slovaca
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N. Parhi (2011)
Mathematica Bohemica
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In the paper, conditions are obtained, in terms of coefficient functions, which are necessary as well as sufficient for non-oscillation/oscillation of all solutions of self-adjoint linear homogeneous equations of the form where is a constant. Sufficient conditions, in terms of coefficient functions, are obtained for non-oscillation of all solutions of nonlinear non-homogeneous equations of the type where, unlike earlier works, or (but for large . Further, these results are...
Beatrix Bačová, Božena Dorociaková (2005)
Czechoslovak Mathematical Journal
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In this work we investigate some oscillatory properties of solutions of non-linear differential systems with retarded arguments. We consider the system of the form where is odd, , .