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A philos‐type criterion to determine the oscillatory character of a class of neutral delay differential equations
Author(s) -
Ramos Higinio,
Bazighifan Omar
Publication year - 2021
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.7383
Subject(s) - mathematics , complement (music) , character (mathematics) , class (philosophy) , type (biology) , oscillation (cell signaling) , delay differential equation , integer (computer science) , differential equation , differential (mechanical device) , mathematical analysis , pure mathematics , ecology , biochemistry , chemistry , genetics , geometry , engineering , artificial intelligence , complementation , aerospace engineering , biology , computer science , programming language , gene , phenotype
This paper is devoted to obtaining a new oscillation criterion for a class of neutral delay differential equations of the typeu ( x )ym − 1( x )κ′ + q ( x ) z κγ ( x ) = 0 ,where m ≥ 4 is an even integer and y ( x ) : = z ( x ) + g ( x ) z ξ ( x ) . It should be noted here that the results obtained improve and complement those given by Xing et al. (2016). An example illustrating the applicability of the new criterion is presented.