34 citations · 198 across the 24 of their papers we have counts for
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math.AP2010★ 26 cited
The Cauchy Problem for a One Dimensional Nonlinear Peridynamic Model
H. A. Erbay, A. Erkip, G. M. Muslu
This paper studies the Cauchy problem for a one-dimensional nonlinear peridynamic model describing the dynamic response of an infinitely long elastic bar. The issues of local well-…
math.AP2010★ 13 cited
The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials
H. A. Erbay, S. Erbay, A. Erkip
This paper is concerned with the analysis of the Cauchy problem of a general class of two-dimensional nonlinear nonlocal wave equations governing anti-plane shear motions in nonloc…
math.AP2010★ 26 cited
Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations
N. Duruk, H. A. Erbay, A. Erkip
We study the initial-value problem for a general class of nonlinear nonlocal coupled wave equations. The problem involves convolution operators with kernel functions whose Fourier…