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

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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 -