Asymptotic theory for a critical case for a general fourth-order differential equation

Euler case for a general fourth-order differential equation

as x →∞, where x is the independent variable and the prime denotes d/dx. The functions pi(x) (0 ≤ i ≤ 2) and qi(x) (i = 1,2) are defined on an interval [a,∞), are not necessarily real-valued, and are all nowhere zero in this interval. Our aims are to identify relations between q0, q1, p0, p1, and p2 that represents an Euler case for (1.1) and to obtain the asymptotic forms of four linearly inde...

A method for solving first order fuzzy differential equation

Periodic solutions of fourth-order delay differential equation

In this paper the periodic solutions of fourth order delay differential equation of the form $ddddot{x}(t)+adddot{x}(t)+f(ddot{x}(t-tau(t)))+g(dot{x}(t-tau(t)))+h({x}(t-tau(t)))=p(t)$  is investigated. Some new positive periodic criteria are given.  

Approximate solution of fourth order differential equation in Neumann problem

Generalized solution on Neumann problem of the fourth order ordinary differential equation in space $W^2_alpha(0,b)$ has been discussed, we obtain the condition on B.V.P when the solution is in classical form. Formulation of Quintic Spline Function has been derived and the consistency relations are given.Numerical method,based on Quintic spline approximation has been developed. Spline solution ...

General Solution for Fuzzy Linear Second Order Differential Equation Using First Solution

The fuzzy linear second order equations with fuzzy initial values are investigatedin this paper. The analytic general solution solutions of them usinga rst solution is founded. The parametric form of fuzzy numbers is appliedto solve the second order equations. General solutions for fuzzy linear secondorder equations with fuzzy initial values are investigated and formulatedin four cases. A examp...