Asymptotic estimation of the convergence of solutions of the equation $\dot x(t)=b(t) x(t-\tau (t))$
Diblík, Josef ; Khusainov, Denis
Archivum Mathematicum, Tome 037 (2001), p. 279-287 / Harvested from Czech Digital Mathematics Library
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The main result of the present paper is obtaining new inequalities for solutions of scalar equation $\dot{x}(t)=b(t)x(t-\tau (t))$. Except this the interval of transient process is computed, i.e. the time is estimated, during which the given solution $x(t)$ reaches an $\varepsilon $ - neighbourhood of origin and remains in it.

Publié le : 2001-01-01
Classification:  34K20,  34K25 
@article{107805,
     author = {Josef Dibl\'\i k and Denis Khusainov},
     title = {Asymptotic estimation of the convergence of solutions of the equation $\dot x(t)=b(t) x(t-\tau (t))$},
     journal = {Archivum Mathematicum},
     volume = {037},
     year = {2001},
     pages = {279-287},
     zbl = {1090.34059},
     mrnumber = {1879450},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107805}
}

Diblík, Josef; Khusainov, Denis. Asymptotic estimation of the convergence of solutions of the equation $\dot x(t)=b(t) x(t-\tau (t))$. Archivum Mathematicum, Tome 037 (2001) pp. 279-287. http://gdmltest.u-ga.fr/item/107805/

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