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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Volume 18 > No. 03

 
   

p-Laplacian functional differential equations with neutral delay arguments: new oscillation theorems

PP: 615-622
doi:10.18576/amis/180313
Author(s)
Noof Alamri, Ali Allahem, Ali Muhib, Osama Moaaz,
Abstract
In this study, we are interested in investigating the oscillatory behavior of solutions to a general class of functional differential equations. We consider a neutral-type equation with multiple delays. We first test some monotonic properties of positive solutions to the studied equation. Then, we use some techniques to obtain criteria that guarantee the oscillation of all solutions. We obtain three different forms of oscillation criteria and compare them in terms of efficiency by applying them to a special case of the studied equation. The results obtained are an extension and generalization of previous results in the literature.

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