The behavior of solutions of some non-linear diffusion equations for large time

on the effect of linear & non-linear texts on students comprehension and recalling

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Large Time Behavior of Solutions to Some Degenerate Parabolic Equations

The purpose of this paper is to study the limit in L(Ω), as t→∞, of solutions of initial-boundary-value problems of the form ut−∆w = 0 and u ∈ β(w) in a bounded domain Ω with general boundary conditions ∂w ∂η + γ(w) 3 0. We prove that a solution stabilizes by converging as t → ∞ to a solution of the associated stationary problem. On the other hand, since in general these solutions are not uniqu...

Solutions for some non-linear fractional differential equations with boundary value problems

In recent years, X.J.Xu [1] has been proved some results on mixed monotone operators.  Following the paper of X.J.Xu, we study the existence and uniqueness of the positive solutions for non-linear differential equations with boundary value problems. 

ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR CERTAIN NON-LINEAR DIFFERENTIAL EQUATIONS

Here we consider some non-autonomous ordinary differential equations of order n and present some results and theorems on the existence of periodic solutions for them, which are sufficient conditions, section 1. Also we include generalizations of these results to vector differential equations and examinations of some practical examples by numerical simulation, section 2. For some special cases t...

3D solutions of non-linear evolution equations with diffusion