A Two-Parameter Shooting Problem for a Second-Order Differential Equation

A RESEARCH NOTE ON THE SECOND ORDER DIFFERENTIAL EQUATION

Let U(t, ) be solution of the Dirichlet problem y''+( t-q(t))y= 0 - 1 t l y(-l)= 0 = y(x), with variabIe t on (-1, x), for fixed x, which satisfies the initial condition U(-1, )=0 , (-1, )=1. In this paper, the asymptotic representation of the corresponding eigenfunctions of the eigen values has been investigated . Furthermore, the leading term of the asymptotic formula for ...

On Fuzzy Solution for Exact Second Order Fuzzy Differential Equation

In the present paper, the analytical solution for an exact second order fuzzy initial value problem under generalized Hukuhara differentiability is obtained. First the solution of first order linear fuzzy differential equation under generalized Hukuhara differentiability is investigated using integration factor methods in two cases. The second based on the type of generalized Hukuhara different...

Asymptotic Formulae for the Eigenvalues of a Two-parameter Ordinary Differential Equation of the Second Order(')

We consider a two-point boundary value problem associated with an ordinary differential equation defined over the unit interval and containing the two parameters A and p. If for each real p. we denote the zzith eigenvalue of our system by Am(/j.), then it is known that Am(/j.) is real analytic in — co ...

A method for solving first order fuzzy differential equation

Periodic Solutions for a Second-order Neutral Differential Equation with Variable Parameter and Multiple Deviating Arguments

By employing the continuation theorem of coincidence degree theory developed by Mawhin, we obtain periodic solution for a class of neutral differential equation with variable parameter and multiple deviating arguments.