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Existence of one non‐trivial anti‐periodic solution for second‐order impulsive differential inclusions
Author(s) -
Hadjian Armin,
Heidarkhani Shapour
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4365
Subject(s) - mathematics , differential inclusion , interval (graph theory) , order (exchange) , eigenvalues and eigenvectors , mathematical analysis , differential equation , second order equation , pure mathematics , combinatorics , physics , finance , quantum mechanics , economics
The existence of one non‐trivial solution for a second‐order impulsive differential inclusion is established. More precisely, a recent critical point result is exploited, in order to prove the existence of a determined open interval of positive eigenvalues for which the considered problem admits at least one non‐trivial anti‐periodic solution. Copyright © 2017 John Wiley & Sons, Ltd.