Study On The Existence And Uniqueness Of Sulutions Of Initial And Boundary Conditions Question Of Elastic Beam Equation With Nonlinear Constitutive Relation

At present, with the development of practical problems and some other sciences on the one hand, and with advancement of mathematics itself on the other hand, the research on the existence and uniqueness of solutions of nonlinear partial differential equations is one of main branches of nonlinear dynamics. Since the complexity of forms of nonlinear partial differential equations, as a result, it is difficult or even impossible to acquire analytic solutions for most non-linear equations. So numerical methods have to be employed or properties of the equation are figured out based of the equation are figured out based on the examination of characteristics of the equation.