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 - 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 -