TY - JOUR
T1 - Asymptotic solutions of linear volterra integral equations with singular kernels
AU - Wong, J. S W
AU - Wong, R.
PY - 1974
Y1 - 1974
N2 - Volterra integral equations of the form ut(t)—fot a(/t- π)u(π)dr, u(0) - 1, are considered, where a(t) € C(0, oo) ȠL1(0, l). Explicit asymptotic forms are obtained for the solutions, when the kernels (i) have a specific asymptotic representation. © 1974 American Mathematical Society.
AB - Volterra integral equations of the form ut(t)—fot a(/t- π)u(π)dr, u(0) - 1, are considered, where a(t) € C(0, oo) ȠL1(0, l). Explicit asymptotic forms are obtained for the solutions, when the kernels (i) have a specific asymptotic representation. © 1974 American Mathematical Society.
KW - Asymptotic form
KW - Completely monotonie
KW - Laplace transform
KW - Volterra integral equation
UR - http://www.scopus.com/inward/record.url?scp=84968513582&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84968513582&origin=recordpage
U2 - 10.1090/S0002-9947-1974-0338718-0
DO - 10.1090/S0002-9947-1974-0338718-0
M3 - RGC 21 - Publication in refereed journal
SN - 0002-9947
VL - 189
SP - 185
EP - 200
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
ER -