International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 4, Pages 773-780
doi:10.1155/S0161171292001005
Solutions of the neutral differential-difference equation αx′(t)+βx′(t−r)+γx(t)+δx(t−r)=f(t)
Ll.G. Chambers
School of Mathematics, University College of North Wales, Dean Street, Gwynedd, Bangor LL57 1UT, United Kingdom
Abstract
Particular solutions and complementary functions are obtained for the functional equation αx′(t)+βx′(t−r)+γx(t)+δx(t−r)=f(t) in the forms of a convolution type integral and of infinite series.