Sentence examples for smallest solution of from inspiring English sources

Thus G 1 6 x - is the smallest solution of (6.10).

By analogous reasoning, one shows the existence of the smallest solution of (5.1).

However, we already know that is the smallest solution of (1.1) in which yields.

The existence of the smallest solution of (1.1) in can be proven in a similar way.

Hence, for every positive integer sufficiently large, there exists a smallest solution of problem (1.1) in the order interval.

Calculating the iterations G n x - it turns out that G4x- = G5x-, whence G 1 4 x - is the smallest solution of (5.9).

Mix a small solution of ammonia and water together and sponge it all over the appliance.

We study the long-time behavior of small solutions of the initial-value problem for a generalized Boussinesq equation.

We obtain a lower bound for the degrees of nonlinearity of the perturbation which guarantees that the small solutions of the nonlinear problem behave asymptotically like the solutions of the associated linear problem.

We prove a long time existence, of order C r)ε−r for all r⩾3, for small solutions, of order ε≪1, in high Sobolev norms of Klein Gordon equation with Hamiltonian nonlinearities.

We study the long-time behavior of small solutions of the initial-value problem for the generalized Korteweg-de Vries equation ∂tu + ∂x3u + ∂xF u) = 0 (gKdV) u x, 0) = g(x).