BOUNDEDNESS OF SOLUTIONS OF SECOND-ORDER FORCED NONLINEAR DYNAMIC EQUATIONS

In this paper, we give some sufficient conditions which ensure that every solution of a certain class of forced nonlinear dynamic equations of the form (*) xΔΔ(t) + qσ(t)f(x(t)) = r(t), on time scale T is bounded. To the best of our knowledge nothing is known regarding the qualitative behavior of so...

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