SOLUTIONS OF THE NEUTRAL DIFFERENTIAL-DIFFERENCE EQUATION αx'(t)+βx'(t−r)+γx(t)+δx(t−r)=f(t)

SOLUTIONS OF THE NEUTRAL DIFFERENTIAL-DIFFERENCE EQUATION αx'(t)+βx'(t−r)+γx(t)+δx(t−r)=f(t)

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.

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Veröffentlicht in:International Journal of Mathematics and Mathematical Sciences 1992-01, Vol.1992 (4), p.773-780
1. Verfasser: Chambers, Ll. G.
Format: Artikel
Sprache:eng
Schlagworte:
neutral differential-difference equation
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Beschreibung
Zusammenfassung: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.
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171292001005