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On the existence and uniqueness theorems of solutions for the systems of mixed monotone operator equations with applications
      
The existence, uniqueness and non-symmetric iterative approximation of solutions for a class of systems of mixed monotone operator equations are discussed.
      
This technique is a direct application of the continuation homotopy method for solving nonlinear systems of equations.
      
It is found that this method does give excellent results in solving the inverse problem of the elliptic differential equations.
      
In this paper, we prove the convergence of the nodal expansion method, a new numerical method for partial differential equations and provide the error estimates of approximation solution.
      
Full discrete nonlinear galerkin method for the Navier-Stokes equations
      
This paper deals with the inertial manifold and the approximate inertial manifold concepts of the Navier-Stokes equations with nonhomogeneous boundary conditions and inertial algorithm.
      
Furtheremore, we provide the error estimates of the approximate solutions of the Navier-Stokes Equations.
      
A note on regularity and existence of solutions for a class of non-uniformly degenerate elliptic equations
      
In this paper we consider the Dirichlet problems of a non-uniformly degenerate elliptic equations of the form div
      
Sign matrix, regular splittings and monotonic enclosure of solutions for nonlinear system of equations, part II
      
As a continuation of part I of the paper under the same title, we develop general monotonic enclosure methods for the couple systems of the splitting equations
      
Symmetries and group-invariant solutions of differential equations
      
Multidimensional Goursat problem for semilinear wave equations
      
In this paper we study the Goursat problem for semilinear wave equations with zero boundary condition in which the boundary is the characteristic cone for wave operator.
      
The zero and order of some second order linear differential equations with transcendental meromorphic coefficients
      
Elliptic H2-volterra projection and the H1-galerkin methods for the integro-differential equations of evolution
      
This paper studiesH1-Galerkin methods for the integro-differential equations of evolution.
      
Positive radial solutions of fully nonlinear elliptic equations inRn
      
By the Schauder-Tychonoff fixed-point theorem, we investigate the existence and asymptotic behavior of positive radial solutions of fully nonlinear elliptic equations inRn.
      
 

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