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Boundedness and vanishing of solutions for a forced delay dynamic equation. (English) Zbl 1139.39006

Summary: We give conditions under which all solutions of a time-scale first-order nonlinear variable-delay dynamic equation with forcing term are bounded and vanish at infinity, for arbitrary time scales that are unbounded above. A nontrivial example illustrating an application of the results is provided.

MSC:

39A11 Stability of difference equations (MSC2000)
39A12 Discrete version of topics in analysis
34K05 General theory of functional-differential equations
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References:

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