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Forced oscillation of sublinear impulsive differential equations via nonprincipal solution
Author(s) -
Mostepha Naceri,
Özbekler Abdullah
Publication year - 2018
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.4823
Subject(s) - sublinear function , mathematics , oscillation (cell signaling) , differential equation , mathematical analysis , forced oscillation , pure mathematics , nonlinear system , physics , genetics , quantum mechanics , biology
In this paper, we give new oscillation criteria for forced sublinear impulsive differential equations of the form( r ( t ) x ′ ) ′ + q ( t ) | x | γ − 1 x = f ( t ) , t ≠ θ i ;Δ r ( t ) x ′ + q i | x | γ − 1 x = f i ,t = θ i ,where γ ∈(0,1), under the assumption that associated homogenous linear equation( r ( t ) z ′ ) ′ + q ( t ) z = 0 , t ≠ θ i ;Δ r ( t ) z ′ + q i z = 0 , t = θ iis nonoscillatory.