Sentence examples for solution for this equation from inspiring English sources

Closed form analytical solution for this equation is determined.

Next, we will give the approximate solution for this equation by the proposed method with (k=2) and (M=3).

By applications of coincidence degree theory, we find that the existence of positive periodic solution for this equation.

By application of the Manásevich-Mawhin continuation theorem, we obtain the existence of a positive periodic solution for this equation.

So, this paper presents a powerful numerical approach based on an iterative technique and Sinc quadrature to estimate a solution for this equation.

Because the quasistatic equation contains several nonlinear terms, closed-form analytical solution for this equation is impossible; thus MATLAB is used to solve it numerically.

Therefore, several methods such as analytical and numerical solution have been proposed for solution of this equation.

Any algorithm for computerized solution of this equation requires a scheme for describing the continuum of aerosol particle sizes as a discrete set.

Clearly the solutions for this equation are and.

All previous results about the positivity of solutions for this equation assumed the negativity of the operator (see, e.g., [12, 13, 15]).

The local well-posedness of strong solutions for this equation in Sobolev space H s ( R ) with s > 3 2 is obtained, and persistence properties of the strong solutions are studied.