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In this paper, we discuss singularly perturbed semi-linear parabolic equations for one dimension and two dimension, we find numerical solutions by using both the line-method and the exact difference scheme on a special non-uniform discretization mesh. The uniform convergence in ε of the first...
The purpose of this paper is to study the section theorems, coincidence theorems and intersection theorems on H-spaces. As a way of application, we use these results to study the existence problems of solutions for minimax inequalities and variational inequalities. The results presented in this...
Based on , the stress structures of the smooth region and shear lip of the specimens have been investigated in the paper. The characteristics of the stress structure in the smooth region have been found that the variable z can separated out; the stresses in the midsection can be obtained by...
In this paper, the Kirchhoff’s transformation is popularized to the nonlinear heat conduction problem which the heat conductivity can be expressed as a multinomial of temperature firstly, the boundary condition of heat conduction problem is determined by analytics.
In the present paper the variational solution of velocity profile for an incompressible laminar and fully developed flow in isoscles triangular ducts is derived by applying the Kantovorich method. The theoretical and experimental results of pressure loss are also given. The velocity distribution...
This paper analyses the anterior descending branch of the arteria coronaria sinistra from the view of hemodynamics.
In this paper, the theorems concerning the summatio of Fourier series with parameter are given by using the Laplace transforms. By means of the known result of Laplace transforms, many new, important problems of summation of Fourier series with parameter in mechanics can be solved.
In this paper, according to the form of the asymptotic solution of papers [1, 2], the asymptotic method is extended to the following a class of more general strong nonlinear vibration systems
$$\ddot x + g(x,\dot x) = \varepsilon f(x,\dot x)$$
where g and f are the nonlinear...
In this paper the general dynamical equations were given for multibodies manipulator. The system is a topologic tree structure consisting of arbitrary number of rigid bodies. The hinges allow the rotational and/or translational motion. In consideration of influence of friction the dynamic...
In this paper, using some techniques, we prove that there exists the regular homoclinic point for Taylor mapping with 4
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