Explicit solutions of a two-dimensional fourth-order nonlinear diffusion 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.  

A family of fourth-order difference schemes on rotated grid for two-dimensional convection-diffusion equation

We derive a family of fourth order nite diierence schemes on the rotated grid for the two dimensional convection diiusion equation with variable coeecients. In the case of constant convection coeecients, we present an analytic bound on the spectral radius of the line Jacobi iteration matrix in terms of the cell Reynolds numbers. Our analysis and numerical experiments show that the proposed sche...

Stationary solutions of a fourth order nonlinear

On the Periodic Solutions of a Certain Nonlinear Vector Differential Equation of Fourth-order

Our aim is essentially to establish a theorem which contains sufficient conditions that guarantee the non-existence of nontrivial periodic solutions of a certain nonlinear vector differential equation of fourth order.

Asymptotic Behaviour of Oscillatory Solutions of a Fourth-order Nonlinear Differential Equation

Asymptotic behaviour of oscillatory solutions of the fourth-order nonlinear differential equation with quasiderivates y[4] + r(t)f(y) = 0 is studied.