Transversality conditions for the existence of solutions of first-order discontinuous functional differential equations
Keyword(s):
We are concerned with the existence of extremal solutions to a large class of first-order functional differential problems under weak regularity assumptions. Our technique involves multivalued analysis and the method of lower and upper solutions in order to obtain a new existence result to a scalar Cauchy problem. As a consequence of this result and a monotone iterative method for discontinuous operators, we derive our main existence result which is illustrated by several examples concerning well-known models: a generalized logistic equation or second-order problems in the presence of dry friction.
2002 ◽
Vol 18
(2)
◽
pp. 253-262
◽
1998 ◽
Vol 32
(6)
◽
pp. 741-747
◽
2009 ◽
Vol 54
(6)
◽
pp. 527-549
◽
2010 ◽
Vol 2010
◽
pp. 1-11
◽
2006 ◽
Vol 2006
◽
pp. 1-13
◽
2001 ◽
Vol 42
(10-11)
◽
pp. 1303-1310
◽
2015 ◽
Vol 110
(1)
◽
pp. 79-96
1989 ◽
Vol 139
(2)
◽
pp. 311-318
◽
2010 ◽
Vol 234
(8)
◽
pp. 2411-2419
◽