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Oscillatory and Asymptotic Behavior of Damped Functional Differential Equations
Author(s) -
Grace S. R.
Publication year - 1989
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19891420121
Subject(s) - mathematics , differential equation , mathematical analysis , differential (mechanical device) , asymptotic analysis , physics , thermodynamics
New theorems on the oscillatory and asymptotic behavior of solutions of the damped differential equations with deviating arguments of the form\documentclass{article}\pagestyle{empty}\begin{document}$$ \begin{array}{l} x^{.} ({\rm t) +}p(t)x^. [\sigma (t)] + q(t)f(x[g(t)]) = 0\;\left({^. = \frac{d}{{dt}}} \right), \\ x^{.} ({\rm t) +}p(t)x^. [\sigma (t)] + q(t)f(x[g(t)]) = 0 \\ \end{array} $$\end{document}are established.