The delay differential equation with piecewise constant argument x′(t)+a(t)x(t)+ b(t) x([t-k])=0 is considered,where a(t) and b(t) are continuous functions on [-k,∞),b(t)≥0,k is a positive integer...The delay differential equation with piecewise constant argument x′(t)+a(t)x(t)+ b(t) x([t-k])=0 is considered,where a(t) and b(t) are continuous functions on [-k,∞),b(t)≥0,k is a positive integer and [·] denotes the greatest integer function.Some new oscillation and nonoscillation conditions are obtained.展开更多
The coordination numbers in the Molecular Interaction Volume Model can be calcu-lated from the common physical quantities of pure matters.A significant advantage ofthe model lies in its ability to predict the thermody...The coordination numbers in the Molecular Interaction Volume Model can be calcu-lated from the common physical quantities of pure matters.A significant advantage ofthe model lies in its ability to predict the thermodynamic properties of ternary liqmdalloys using only the binary infinite dilute activity coefficients,and the predicted values are in good agreement with the experimental data of ternary liquid alloys,whichshows that the model is reliable,convenient and economic.展开更多
Here we derive a new representation of the derivative of the double-layer potential for harmonic elastic waves in R3.Based on this new representation,the Neumann internal problem and the Neumann external problem of ha...Here we derive a new representation of the derivative of the double-layer potential for harmonic elastic waves in R3.Based on this new representation,the Neumann internal problem and the Neumann external problem of harmonic elastic waves are reduced to a system of boundary integro-differential equations,which is convenient for numerical approximation.展开更多
In this paper.the following ined boundary value problem for second-order system of differential equations of the elliptic type will be discussed to find the function u and v such that they satisfy:The solution of this...In this paper.the following ined boundary value problem for second-order system of differential equations of the elliptic type will be discussed to find the function u and v such that they satisfy:The solution of this problem is found by means of the theory of generalized analutic function and the integral equation method for solving boundary value problems.展开更多
文摘The delay differential equation with piecewise constant argument x′(t)+a(t)x(t)+ b(t) x([t-k])=0 is considered,where a(t) and b(t) are continuous functions on [-k,∞),b(t)≥0,k is a positive integer and [·] denotes the greatest integer function.Some new oscillation and nonoscillation conditions are obtained.
文摘The coordination numbers in the Molecular Interaction Volume Model can be calcu-lated from the common physical quantities of pure matters.A significant advantage ofthe model lies in its ability to predict the thermodynamic properties of ternary liqmdalloys using only the binary infinite dilute activity coefficients,and the predicted values are in good agreement with the experimental data of ternary liquid alloys,whichshows that the model is reliable,convenient and economic.
文摘Here we derive a new representation of the derivative of the double-layer potential for harmonic elastic waves in R3.Based on this new representation,the Neumann internal problem and the Neumann external problem of harmonic elastic waves are reduced to a system of boundary integro-differential equations,which is convenient for numerical approximation.
文摘In this paper.the following ined boundary value problem for second-order system of differential equations of the elliptic type will be discussed to find the function u and v such that they satisfy:The solution of this problem is found by means of the theory of generalized analutic function and the integral equation method for solving boundary value problems.
