TY - JOUR
T1 - Differential equations of even-order with p-Laplacian like operators
T2 - qualitative properties of the solutions
AU - Bazighifan, Omar
AU - Abdeljawad, Thabet
AU - Al-Mdallal, Qasem M.
N1 - Funding Information:
Thabet Abdeljawad would like to thank the anonymous reviewers for their helpful remarks. The third author would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES-2017-01-17.
Publisher Copyright:
© 2021, The Author(s).
PY - 2021/12
Y1 - 2021/12
N2 - In this paper, we study the oscillation of solutions for an even-order differential equation with middle term, driven by a p-Laplace differential operator of the form {(r(x)Φp[z(κ−1)(x)])′+a(x)Φp[f(z(κ−1)(x))]+∑i=1jqi(x)Φp[h(z(δi(x)))]=0,j≥1,r(x)>0,r′(x)+a(x)≥0,x≥x0>0. The oscillation criteria for these equations have been obtained. Furthermore, an example is given to illustrate the criteria.
AB - In this paper, we study the oscillation of solutions for an even-order differential equation with middle term, driven by a p-Laplace differential operator of the form {(r(x)Φp[z(κ−1)(x)])′+a(x)Φp[f(z(κ−1)(x))]+∑i=1jqi(x)Φp[h(z(δi(x)))]=0,j≥1,r(x)>0,r′(x)+a(x)≥0,x≥x0>0. The oscillation criteria for these equations have been obtained. Furthermore, an example is given to illustrate the criteria.
KW - Differential equation
KW - Even-order
KW - Oscillation
KW - p-Laplacian equation
UR - http://www.scopus.com/inward/record.url?scp=85100235320&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85100235320&partnerID=8YFLogxK
U2 - 10.1186/s13662-021-03254-7
DO - 10.1186/s13662-021-03254-7
M3 - Article
AN - SCOPUS:85100235320
SN - 1687-1839
VL - 2021
JO - Advances in Difference Equations
JF - Advances in Difference Equations
IS - 1
M1 - 96
ER -