Existence of one non‐trivial anti‐periodic solution for second‐order impulsive differential inclusions | Zendy

Hadjian Armin | Zendy; Heidarkhani Shapour | Zendy

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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.

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