TY - JOUR
T1 - Stability of a second-order differential equation with retarded argument
AU - Bainov, D.
AU - Domoshnitsky, A.
N1 - Funding Information:
In the present investigation, DB was partially supported by the Bulgarian Ministry of Education and Science under Grant MM-7, and AD by a grant from the Israeli Ministry of Science and the 'Ma-Agara'.
PY - 1994/1/1
Y1 - 1994/1/1
N2 - Effective criteria for exponential stability of second-order linear equations based on the positivity of the Cauchy function are proposed. Bounds of the ‘smallness’ of the deviation of the argument are established under which the equation with retarded argument is still stable if the ordinary differential equation with the same coefficients is stable. Based on the criteria obtained, an applied problem on the regulation of concentration is analyzed.
AB - Effective criteria for exponential stability of second-order linear equations based on the positivity of the Cauchy function are proposed. Bounds of the ‘smallness’ of the deviation of the argument are established under which the equation with retarded argument is still stable if the ordinary differential equation with the same coefficients is stable. Based on the criteria obtained, an applied problem on the regulation of concentration is analyzed.
UR - http://www.scopus.com/inward/record.url?scp=0028115167&partnerID=8YFLogxK
U2 - 10.1080/02681119408806173
DO - 10.1080/02681119408806173
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AN - SCOPUS:0028115167
SN - 0268-1110
VL - 9
SP - 145
EP - 151
JO - Dynamics and Stability of Systems
JF - Dynamics and Stability of Systems
IS - 2
ER -