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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 nonsymmetric 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 NavierStokes equations


This paper deals with the inertial manifold and the approximate inertial manifold concepts of the NavierStokes equations with nonhomogeneous boundary conditions and inertial algorithm.


Furtheremore, we provide the error estimates of the approximate solutions of the NavierStokes Equations.


A note on regularity and existence of solutions for a class of nonuniformly degenerate elliptic equations


In this paper we consider the Dirichlet problems of a nonuniformly 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 groupinvariant 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 H2volterra projection and the H1galerkin methods for the integrodifferential equations of evolution


This paper studiesH1Galerkin methods for the integrodifferential equations of evolution.


Positive radial solutions of fully nonlinear elliptic equations inRn


By the SchauderTychonoff fixedpoint theorem, we investigate the existence and asymptotic behavior of positive radial solutions of fully nonlinear elliptic equations inRn.

