I occasionally snuck inside to see a film, using the method of stepping backward while the crowd from the prior screening exited.
Continuing this process, we can find a solution on the whole interval [ 0, k ] by using the method of steps.
When the initial data is given, we can obtain a unique solution to (E) by using the method of steps.
The method of steps allows one to solve virtually any DDE system by transforming it to an ODE system.
By the method of steps, we can obtain the expression of the (ii -solution on [ 0, 1 ] correspondii -solutionnitial condition φ ( t ).
By the method of steps, one can easily see that, for any given initial function, there exists a unique solution, of (2.1) which satisfies the initial condition (2.3).
In the case of additive noise ((beta_{2}=beta_{3}=0)), an explicit solution on the first interval ([0,tau]) has been calculated by the method of steps (see, for example, [23]).
Theorem 3.2 The exponential θ-method (11) is convergent with order { 1, when θ ≠ 1 / 2, 2, when θ = 1 / 2. Proof By the method of steps which is introduced in [25], we can easily get this proof.
Following the method of steps, we can obtain the expression of the (i -solution on [ 0, 1 ], whi -solutionesented in Figure 5. Figure 5 (i)-sonution to ( 5.8 ) ( λ = 1 ).
Fixed points (x_{n}) of the operators (widetilde{G}_{n}) may be found by the method of steps successively on the intervals ([frac{k}{n},frac {k+1}{n}]), (k = 0,1,ldots,[an]).
