NONEXISTENCE OF POSITIVE SOLUTIONS FOR 2(PTH) ORDER INTEGRODIFFERENTIAL-INEQUALITIES

Authors
AGARWAL RP WONG FH YU SL
Citation
Rp. Agarwal et al., NONEXISTENCE OF POSITIVE SOLUTIONS FOR 2(PTH) ORDER INTEGRODIFFERENTIAL-INEQUALITIES, Applied mathematics letters, 10(6), 1997, pp. 63-69
Citations number
12
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics letters → ACNP
ISSN journal
08939659
Volume
10
Issue
6
Year of publication
1997
Pages
63 - 69
Database
ISI
SICI code
0893-9659(1997)10:6<63:NOPSF2>2.0.ZU;2-P
Abstract
In this paper, we shall show that under suitable conditions on f and K , the inequalities -lambda(2p) + integral(0)(infinity) e(lambda s)K(s) ds > 0, for all lambda > 0, (p = 0,1,2,...) imply that the integro-dif ferential inequalities (-1)(2p+1)y((2p))(t) + integral(0)(t) f(t - s,y (s)) ds less than or equal to 0, on [0,infinity], (p = 0,1,2,...) have no positive solutions, respectively.