Sentence examples for solution which tends from inspiring English sources

Then (1) has a positive solution which tends to zero.

Then Eq. (3.6) has a positive solution which tends to zero.

First, sparse representation cannot provide a reliable similarity measure due to the potential overfitting solution, which tends to introduce excessive nonzero coefficients to reduce the representation error.

They proved the existence and uniqueness of a classical solution which tends asymptotically for subsequences to a stationary point of the energy functional.

If P 1 ( t ) fulfils the last inequality above, a straightforward verification yields that the conditions of Theorem 2 are satisfied and therefore (14) has a positive solution which tends to zero.

As γ > 1 we show that the free boundary value problem with regular initial data admits a unique global strong solution which tends pointwise to a non-vacuum equilibrium state at an exponential time-rate as the time tends to infinity (refer to Theorem 2.1 for details).

In contrary to this, the lower citrate concentrations will not form [Zn(C6H5O7 4]10− supersaturated solution, which tend to self-assemble from bottom to top.

Thus, as the Armellini-Tonelli-Sansone theorem shows, (3) can have (oscillatory) solutions which tend to zero as t → ∞, see [20] for a detailed survey on this topic.

"MemSQL was designed to tackle Big Data problems by accelerating an application's throughput while still offering SQL, unlike other solutions which tend to either be too slow or too limited in functionality".

On the other hand, for a small positive, there are always solutions of (7.1) which tend to a limit 2-cycle, and solutions which tend to the limit 1-cycle, and for a large, there are solutions of (7.1) which tend to the limit 1-cycle and solutions to the limit 1-cycle.

In this article, we find a special class of homoclinic solutions which tend to 0 as t → ± ∞, for a forced generalized Liénard system x ¨ + f 1 ( x ) x ˙ + f 2 ( x ) x ˙ 2 + g ( x ) = p ( t ).