Sentence examples for representation of a solution from inspiring English sources

Open image in new window Figure 1 Representation of a solution with four orders.

The first is the formula for an integral representation of a solution of a Cauchy problem for the nonhomogeneous system.

Similarly, we can have the representation of a solution to a, defined by (2.3), by a fixed point as given by relation (2.4).

Motivated by [34 37], in this paper, we present the explicit representation of a solution for the degenerate fractional linear system with Riemann-Liouville derivative and derive the stability criteria for the system.

In the paper, the representation of a solution of the general Tricomi-Rassias problem was given for the first time; moreover, the uniqueness and existence of a solution for the problem were proved by a new method.

This is the integral representation of a solution of the initial-boundary value problem (5) on Ω T = { ( x, t ) ∈ R 2 : 0 < x < x 0, 0 < t ≤ T }.

These inequality methods are based on the representation formula of a solution and the analysis of Cauchy, Green's and fundamental matrices.

By expanding the unknown function in appropriately chosen global basis functions, each of which explicitly satisfies the given boundary conditions, in general this scheme converges exponentially fast and almost always supplies the most terse representation of a smooth solution.

The coarse-grained representation of a typical solution is found this way.

We shall give the representation of an analytical solution of equation (9) in the space (^{o}Pi _{w}^{m}[a,b]).

In this paper, we first (i) prove a set of necessary and sufficient conditions for the existence of a solution of the no spill-over QFEMUP, then (ii) present a parametric representation of the solution, assuming a solution exists and finally, (iii) propose an algorithm for QFEMUP with no spill-over and incomplete measured eigenvectors.