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In this paper, we establish maximal Lp-Lq estimates for non-autonomous parabolic equations of the type u'(t)+A(t)u(t)=f(t), u(0)=0 under suitable conditions on the kernels of the semigroups generated by the operators -A(t), t∈[0,T].
      
In this paper we consider the Dirichlet problems of a non-uniformly degenerate elliptic equations of the form div
      
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.
      
In this paper, the two and three-point boundary problems (with nonlinear boundary conditions) for the general nonlinear differential equations of fourth order are discussed.
      
This paper discusses the oscillation of solutions for systems of nonlinear neutral type parabolic partial functional differential equations of the form 1 where Ω is a bounded domain in Rn with piecewise smooth boundary.
      
In this paper, a class of singular perturbation of nonlocal boundary value problems for elliptic partial differential equations of higher order is considered by using the differential inequalities.
      
The following regularity of weak solutions of a class of elliptic equations of the form are investigated, *.
      
Oscillation criteria for second order nonlinear differential equations of neutral type
      
In this paper, the oscillation criteria for the solutions of the nonlinear differential equations of neutral type of the forms: 1 and 1 are obtained.
      
In this paper, the forced odd order neutral differential equations of the form are considered 1 A sufficient condition for the oscillation of all solutions is obtained.
      
The global existence of solutions to the equations of one-dimensional compressible flow with density-dependent viscosity is proved.
      
The method of discrete mapping modeling was utilized to construct the difference equations of the system operating in continuous conduction mode (CCM).
      
The control strategies utilized real-time state variables obtained by PMU to linearize the state equations of the system, and then the linear optimal control strategy was used to design excitation controllers.
      
In order to accurately estimate the size of the carbon pool and the capacity of the carbon sink in the forested areas of Xiaolong Mountain in Gansu Province, we have established regression equations of organ biomass of eight tree species.
      
Then a parameterization procedure based on the sensitivities of response forces is introduced to establish the identification equations of super-elements.
      
After theoretical calculation of electro-viscosity is amended according to the experimental results, the equations of electro-viscosity are presented.
      
Based on the principle of formation of conjugate tooth contour, the equations of the cam's pitch curve are derived.
      
The Runge-Kutta method is used to solve the ordinary differential equations of the model.
      
It was shown that the conversions of L-cystine and L-cysteine obeyed the Michaelis-Menten equations of serial-sequential conversions with regard to inhibition by the final product and inactivation.
      
 

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