Abstract
A functional-differential equation ofn-th order
is considered, wheren≥2,m≥1 are integers andA t/t: C([t0, ∞), R)→ R, i=1,2,...,m are functionals defined for everyt∈[t 0, ∞).
Sufficient conditions have been found for which all bounded non-oscillatory solutions and all non-oscillatory solutions of the functional-differntial equation tend to zero fort→∞.
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Mishev, D.P., Bainov, D.D. Some properties of nonoscillating solutions of functional-differential equations ofn-th order. Rend. Circ. Mat. Palermo 35, 233–243 (1986). https://doi.org/10.1007/BF02844734
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DOI: https://doi.org/10.1007/BF02844734