Erbay, Hüsnü AtaErbay, SaadetErkip, A.2014-06-252014-06-252014-010362-546Xhttp://hdl.handle.net/10679/381https://doi.org/10.1016/j.na.2013.09.013In this paper we study the global existence and blow-up of solutions for a general class of nonlocal nonlinear wave equations with power-type nonlinearities, View the MathML source, where the nonlocality enters through two pseudo-differential operators L and B. We establish thresholds for global existence versus blow-up using the potential well method which relies essentially on the ideas suggested by Payne and Sattinger. Our results improve the global existence and blow-up results given in the literature for the present class of nonlocal nonlinear wave equations and cover those given for many well-known nonlinear dispersive wave equations such as the so-called double-dispersion equation and the traditional Boussinesq-type equations, as special cases.enginfo:eu-repo/semantics/openAccessArticle9431332200032748360002510.1016/j.na.2013.09.013Nonlocal Cauchy problemGlobal existenceBlow-upPotential wellBoussinesq equationDouble dispersion equation2-s2.0-84885158143