TY - JOUR
T1 - On asymptotic solutions of the renewal equation
AU - Wong, J. S W
AU - Wong, R.
PY - 1976/2
Y1 - 1976/2
N2 - Consider the renewal equation in the form (*) u(t) = g(t) + ∝o
t u(t - τ) f{hook}(τ) dτ, where f{hook}(t) is a probability density on [0, ∞) and limt → ∞ g(t) = g0. Asymptotic solutions of (*) are given in the case when f(t) has no expectation, i.e., ∝0
∞ tf{hook}(t)dt = ∞. These results complement the classical theorem of Feller under the assumption that f(t) possesses finite expectation. © 1976.
AB - Consider the renewal equation in the form (*) u(t) = g(t) + ∝o
t u(t - τ) f{hook}(τ) dτ, where f{hook}(t) is a probability density on [0, ∞) and limt → ∞ g(t) = g0. Asymptotic solutions of (*) are given in the case when f(t) has no expectation, i.e., ∝0
∞ tf{hook}(t)dt = ∞. These results complement the classical theorem of Feller under the assumption that f(t) possesses finite expectation. © 1976.
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U2 - 10.1016/0022-247X(76)90108-6
DO - 10.1016/0022-247X(76)90108-6
M3 - 21_Publication in refereed journal
VL - 53
SP - 243
EP - 250
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
SN - 0022-247X
IS - 2
ER -