On Periodic Solutions of Nonlinear Hyperbolic Equations of the Fourth Order

In the last century most of the sciences, engineering and technology have triggered a multitude of complex nonlinear phenomena. For the majority of these problems the existing analysis does not give any information about their solutions. In mathematically modeling most of the times these phenomena lead to either ordinary or partial differential equations, which are often nonlinear. While in the last few years such problems have become the central theme of research, more has to be done.

Particularly, in the case of ordinary differential equations one of the major aspects which has been studied extensively is the uniqueness property of solutions. In fact, hundreds of uniqueness criteria are known in the literature; however, to accommodate new complex phenomenon the research continues in this direction. Following this trend in this these we offer easily verifiable uniqueness criteria for hyperbolic partial differential equations of the type [special characters omitted] and its various particular cases as well as possible generalizations.