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This paper presents a new class of more flexible non-slip trajectories on revolutional surfaces as an extension of the well-known Clariaut equation and gives its application in CAFW.
      
The existence of infinitely many solutions for the equation are given by means of variational method, where ∞,if n = 1,2.
      
Soliton solution of nonlinear schr?dinger equation with higher order dispersion terms
      
We use the topological degree method to deal with the generalized Sturm-Liouville boundary value problem (BVP) for second order mixed-type functional differential equation x-(t) = f(t, xt, xt), 0 ≤ t ≤ T.
      
At the end of this paper, an application of the asymptotic theory is given to analyze a special model for a perturbed wave equation.
      
In this paper, a new method of boundary reduction is proposed, which reduces the steady-state heat transfer equation with radiation.
      
The arbitrage free pricing of the option is determined via a series of partial differential equations, which is derived at the view point of backward stochastic differential equation (BSDE).
      
As in the paper of Xu Wensheng and Chen Shuping in JAMS(B), where an analogous problem in finite horizon is studied, optimal strategies are obtained via Hamilton-Jacobi-Bellman (HJB) equation which is derived from dynamic programming principle.
      
First,nonnegative solutions for scalar equation with spatial discontinuities are studied.
      
Then the method developed for scalar equation is applied to study elliptic systems.
      
In this paper,the variable cofficient KdV equation with dissipative loss and nonuniformity terms and the variable coefficient SG equation with nonuniformity term are studied.
      
Lp-Lq Estimates for higher order perturbed hyperbolic equation
      
In this paper Lp-Lqestimates for the solution u(κ,t) to the following perturbed higher order hyperbolic equation are considered,
      
In this paper, a sufficient condition for boundedness and persistence of the solutions of the following delay difference equation is obtained.
      
Nonconforming finite element penalty method for stokes equation
      
A special penalty method is presented to improve the accuracy of the standard penalty method for solving Stokes equation with nonconforming finite element.
      
Attention will be focused on the logistic equation.
      
With a comparison theorem an inequality satisfied by the solution of logistic equation is established.
      
Bifurcation of two-dimensional Kuramoto-Sivashinsky equation
      
This paper deals with the steady state bifurcation of the K-S equation in two spatial dimensions with periodic boundary value condition and of zero mean.
      
 

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