The global solutions of some nonlinear equations and blow up the solutions in finite time

In this thesis, the global solutions of some nonlinear equations and blowup of the solutions in finite time are investigated. Initial value problem for the nonlinear equations is defined. Studies are conducted in this area are mentioned. Theorems and inequalities applied in this thesis. First the situations in which the global solution of the damping equation exists or doesn't exist under some conditions are shown. Then for a different equation , the global solution and blowup of the solution in finite time are discussed. Finally, some recommendations and the result of thesis given. This work is performed by investigating the result in literature.