Maximum principles for a fourth order equation from thin plate theory

A Maximum Principle Result for a General Fourth Order Semilinear Elliptic Equation

We obtain maximum principles for solutions of some general fourth order elliptic equations by modifying an auxiliary function introduced by L.E. Payne. We give a brief application of these maximum principles by deducing apriori bounds on a certain quantity of interest.

Blow-Up in a Fourth-Order Semilinear Parabolic Equation From . . .

Blow-up in a fourth-order semilinear parabolic equation from explosion-convection theory

with a parameter β 0, which is a model equation from explosion-convection theory. Unlike the classical Frank-Kamenetskii equation ut = uxx+e u (a solid fuel model), by using analytical and numerical evidence, we show that the generic blow-up in this fourth-order problem is described by a similarity solution u∗(x, t) = − ln(T − t) + f1(x/(T − t)) (T > 0 is the blowup time), with a non-trivial pr...

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 ...