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Boundedness of solutions of second-order forced nonlinear dynamic equations. (English) Zbl 1139.34030

Summary: We give some sufficient conditions which ensure that every solution of a certain class of forced nonlinear dynamic equations of the form
\[ x^{\Delta\Delta}(t) + q^\sigma(t)f(x(t)) = r(t),\tag{*} \]
on a time scale \(\mathbb T\) is bounded.

MSC:

34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
39A10 Additive difference equations
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References:

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