TY - JOUR
T1 - Functional-differential equations with compressed arguments and polynomial coefficients
T2 - Asymptotics of the solutions
AU - Derfel, Gregory
PY - 1995/7/15
Y1 - 1995/7/15
N2 - Functional-differential equations with linearly compressed arguments and polynomial coefficients are considered. We prove, under some mild restrictions on the coefficients, that each solution y(t) of such an equation, satisfying estimate |y(t)| ≤ C exp{γ In2 |t|} (t → ∞), where 0 < γ < γ̃, is polynomial.
AB - Functional-differential equations with linearly compressed arguments and polynomial coefficients are considered. We prove, under some mild restrictions on the coefficients, that each solution y(t) of such an equation, satisfying estimate |y(t)| ≤ C exp{γ In2 |t|} (t → ∞), where 0 < γ < γ̃, is polynomial.
UR - http://www.scopus.com/inward/record.url?scp=0000099970&partnerID=8YFLogxK
U2 - 10.1006/jmaa.1995.1260
DO - 10.1006/jmaa.1995.1260
M3 - Article
AN - SCOPUS:0000099970
SN - 0022-247X
VL - 193
SP - 671
EP - 679
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -