Sentence examples for solution of exponential from inspiring English sources

This is a consequence of the existence for a self-similar solution of exponential form for the scalar problem (1.4) with q2 = (p1 + 1)/2 (see [8]).

And from this one can obtain the two entire solutions of exponential type.

We achieve this with the aid of the self-similar solutions of exponential form that we found in Theorem 2.3.

The resulting multiple wave solutions contain resonant solitons and a linear combination of solutions of exponential waves, the latter of which presents an idea to construct linear subspaces of solutions for nonlinear equations.

The solution is of exponential complexity due to the inherent complexity of the classic set-covering problem.

Our first theorem gives a result of exponential decay of solutions to the linear equation of (1) toward the steady state A built in Sect. 5.

A general solution of the exponential equation was introduced in [12].

Suppose that the conditions (6) and (9) hold, for arbitrary (h>0), then the numerical solution of the exponential Euler method is general mean-square stable.

Now, we investigate bounded functions satisfying each of (2.2) and (2.3) (see [4, 11 13] for bounded solutions of an exponential functional equation).

Remark 4.1 The general tendency for soliton solutions is being of exponential type; however, such an exponential function f ( 1 ) does not satisfy the equation (23).

Apart from that the solution of the matrix exponential (29) coincides with the gas taking up cylinder space.