Methods Nonlinear dynamical behavior of both parabolic equation and elliptic equation were investigated by several tools such as Poincare section, Lyapunov exponent, and correlation dimension.
A comparison principle for nonlinear degenerate ellipticequation is derived, and a existence theorem of the coupled weak quasi-solutions of BVP for nonlinear degenerate elliptic systems is given.
建立非线往退缩椭圆型方程的比较原理并给出方程组边值问题耦合弱拟解的存在性定理。
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In this paper, we consider singularity perturbed problem for a kind of quasilinear elliptic-parabolic type equation with nonlinear boundary value conditions.