Sentence examples for present some conditions from inspiring English sources

For instance, in [13], the authors present some conditions under which the operator L has a discrete spectrum.

We present some conditions on solvability of the simultaneous stabilization problem, and a procedure for designing such a controller.

If (1.10) is not satisfied, i.e., if (1.11) holds, then we present some conditions that guarantee that each solution of (1.1) is either oscillatory or converges to zero.

The purpose of this paper is to present some conditions for problem (1.1) that have a unique solution, the iterative sequences yielding approximate solutions are also given.

Now we present some conditions that Lemma 2.2 needs: ((mathrm{H}_{1}^)):  The operators (L,N Xrightarrow X) are compact on the real Banach space X. (L+N) is positive.

In this paper, we consider nonlinear fuzzy fractional differential equations of the form D q u = f ( t, u ), where 0 < q < 1 and D q is the Riemann-Liouville fractional derivative and u ( t ) is a fuzzy real number for each t ∈ ( 0, a ], a > 0. We present some conditions to obtain a solution. The paper is organized as follows.

In this article, we present some necessary conditions, a sufficient condition and a necessary and sufficient condition for sequences to be completely monotonic.

We present some sufficient conditions of blowup of the solutions to Laplace equations with semilinear dynamical boundary conditions of hyperbolic type.

In the next section, we present some sufficient conditions for the existence, and hence the uniqueness, of the limit cycle as well as a necessary condition.

We present some inequality conditions guaranteeing the existence of positive solutions.

We present some sufficient conditions which guarantee that W1, p(M, N) is path-connected.