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Upper and lower solutions method for first-order impulsive differential inclusions with nonlinear boundary conditions

✍ Scribed by M Benchohra; J Henderson; S.K Ntouyas; A Ouahab

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
458 KB
Volume
47
Category
Article
ISSN
0898-1221

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✦ Synopsis

ln this paper, a fixed-point theorem for condensing multivalued maps due to Martelli combined with the concept of upper and lower solutions is used to investigate the existence of solutions for first-order impulsive differential inclusions with nonlinear boundary conditions. (~) 2004 Elsevier Ltd. All rights reserved. Keywords--Boundary value problem, Convex valued multivalued map, Impulsive effect, Nonlinear boundary conditions, Fixed point, Upper and lower solutions. y (t~+) = I~ (y (t;)), k=l, ,~, L(y(0), y(T)) = 0,

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