Sentence examples for solution of corresponding from inspiring English sources

are equal, respectively, to the smooth solution of corresponding classical functional equations (1.3) and (1.4).

The solution of corresponding model reduction problem with pre-specified performance is given by using the projection Lemma.

The solution of corresponding direct problem is used to simulate the measured displacements and temperatures, which is obtained based on the three-dimensional thermoelasticity theory under axisymmetric conditions.

The finite-element approach and an algorithm for the solution of corresponding problems are developed and implemented in a code FIDESYS.

To a solution of corresponding aldehydes (4.4 mmol, 2.2 equiv). in ethanol (5 mL), the mixture was slowly dropped into the above solution at 0 °C for 20 min.

From (24), we have (f=-Y^2) and consequently, the exact solution of corresponding SDE is (X=frac{1}{2} hbox {e}^{2Y}) such that its related stochastic equation is: begin{aligned} {left{ begin{array}{ll}hbox {d}Y=-Y_{t} hbox {d}t+Y_{t} hbox {d}W^Q_{t}, Y 0)=frac{ln (2)}{2}.end{array}right.

Positive homoclinic solutions of corresponding differential equation are studied in [3] and periodic solutions in [20].

The subset S consists of all solutions of corresponding problems (1 - 2) with non-negative f.

As well known, both solutions of (1.1) and equation can be constructed by the solutions of corresponding difference equations.

Many results are the corollaries of our result, and we will give the complex method to find all traveling wave exact solutions of corresponding partial differential equations.

In this way, by not requiring Hölder continuity condition, one gets monotone sequences whose iterates are solutions of corresponding linear problems and the sequences converge uniformly and quadratically to the unique solution of the given nonlinear problem.