Polat, NecatKaya, Dogan2024-04-242024-04-2420090932-07841865-7109https://doi.org/10.1515/zna-2009-5-605https://hdl.handle.net/11468/18553We consider the existence, both locally and globally in time, the asymptotic behaviour, and the blow up of solutions to the initial boundary value problem for a class of nonlinear wave equations with dissipative and dispersive terms. Under rather mild conditions on the nonlinear term and the initial data we prove that the above-mentioned problem admits a Unique local solution, which call be continued to I global solution, and the solution decays exponentially to zero as t -> + infinity. Finally, under a suitable condition oil the nonlinear term, we prove that the local solutions with negative and nonnegative initial energy blow up in finite time.eninfo:eu-repo/semantics/openAccessNonlinear Wave EquationInitial Boundary Value ProblemGlobal SolutionAsymptotic BehaviourBlow Up Of SolutionsArticle645-6315326WOS:0002685408000052-s2.0-6764976359210.1515/zna-2009-5-605Q2Q3