Sentence examples for a backward problem from inspiring English sources

In [27], Wang solved a backward problem for a time-fractional diffusion equation with variable coefficients in a general bounded domain by the Tikhonov regularization method.

In [25], Liu and Yamamoto used the quasi-reversibility method to solve a backward problem for a time-fractional diffusion equation in the one-dimensional case.

In [12], the authors applied a quasi-reversibility regularization method to solve a backward problem for the time-fractional diffusion equation.

For the reason that the option pricing is a backward problem, the initial condition is begin{aligned} V(S_{1},S_{2},T)=S_{2}cdot max {S_{1}-K,0}.

Since (1.1) is a degenerate backward problem, we transform it into a familiar forward nondegenerate parabolic variational inequality problem; so letting (1.3).

A backward flow problem should be solved in the upstream phases.

Unlike other mean-field game literature: (1) Here, the major and minor agents are endowed with different objective patterns: the major agent (say, the local government) aims to fulfill some prescribed future target, thus it is facing a "backward" LQ problem by minimizing the initial endowment.

In Section 2, we state the backward problem for the axisymmetric BHCP.

However, the robot using the new gait has lower gravity fluctuation in displacement and velocity without halt or backward problem, and the decreasing of motion speed leads to the increasing of the gravity fluctuation and the toe-force.

Using the method, Clark and Oppenheimer, in [5], and Denche-Bessila very recently in [20], regularized the backward problem by replacing the final condition by u(T) + varepsilon u(0) = g (1.2) and u(T) - varepsilon u'(0) = g.

Now we consider the wellposedness for the linear backward problem left { textstylebegin{array}{l@{quad}l} phi -Deltaphi=0, & mbox{in } Q, frac{phi -Deltaphi=0tialnu}-Delta_{T} phi=v, & mbox{in } Gamma_{1}times(0,T), phi=0, & mbox{on } Gamma_{0}times(0,T), end{array}displaystyle right.