Existence Of Solutions For Iterative Differential Equation,Beam Equation And Numerical Methods

In this thesis,we consider the existence and uniqueness of solutions for a second order iterative ordinary differential equation with boundary value conditions,to our knowledge,this problem hasn’t been descried.In addition,we discuss the existence of nontrivial solutions for simply supported beam equations with three parameters by using variational method,which supplemented the existing results.Furthermore,numerical method of second order ordinary differential equation with boundary value conditions be discussed,which improved difference method for second order boundary value problem.