Sentence examples for sum of solutions from inspiring English sources

For fluid-loaded beams, we use a weighted sum of solutions having compact support to achieve near-confinement.

The solution of problem (28) can be decomposed into the sum of solutions of two problems: (19) and (25).

If Λ is nonempty for a given θ, then by a characteristic solution of (4.7) corresponding to Λ , we understand a finite sum of solutions of (4.7) corresponding to all values λ ∈ Λ.

The solution u is the sum of the solutions u c and u s of the two inhomogeneous systems M u ¨ c ( t ) + S u c ( t ) = p c ( x ) cos ( ω t ), M u ¨ s ( t ) + S u s ( t ) = p s ( x ) sin ( ω t ).

Making use of the variables separation method and of the superposition principle, the general solution is obtained by the sum of two solutions: one is derived for null boundary conditions and an arbitrary initial condition; the other is derived for a null initial condition and two arbitrary boundary conditions.

Furthermore, using the new method we derive the quasi-periodic wave solutions of this equation by assuming that the solutions of the corresponding higher-order ODE are the sum of the solutions of two solvable first-order nonlinear ODEs.

A candidate is in this case an interval, for which the optimal solution cannot be written as a sum of optimal solutions of sub-intervals.

The total number of candidate solutions of network reconfiguration equals to the sum of candidate solutions corresponding to each spanning tree.

As a solution of a constant coefficient equation, is a sum of characteristic solutions.

However, by using the new method introduced in this paper (the sum of two solutions to sub-equations), we obtained many new exact traveling wave solutions to the KdV-Sawada-Kotera-Ramani equation (1.1).

If is a nonempty set of characteristic values, then by a characteristic solution corresponding to the set, we mean a finite sum of characteristic solutions corresponding to values.