Sentence examples for obtained about the existence from inspiring English sources

Many important results have been obtained about the existence and multiplicity of solutions for fractional boundary value problems based on the techniques of nonlinear analysis, such as fixed point theory [10 13], topological degree theory [14 16], the method of upper and lower solutions and the monotone iterative method [17].

For each protein, we obtained about the same 400 sequences that would give also partial hits to different species, which suggested a potential existence of different domains in the protein.

Moreover, many studies on pressure ulcer care obtain data about the existence of pressure ulcers by means of nursing documentation, or analyze data gathered by staff working in the health care institutions.

In clinical practice blood glucose is basically measured in order to obtain information about the existence and extent (control and treatment of diabetes) of a disturbed glucose metabolism (diagnosis of diabetes mellitus).

Sufficient conditions are obtained for the existence of admissible filters.

Lomonosov, Radjavi, and Troitsky [3] obtained a result about the existence of invariant subspaces for an operator with a strongly compact commutant under the additional assumption that the commutant of the adjoint is a localizing algebra.

In 2001, Micheletti and Saccon (see [4]) obtained two results about the existence of two nontrivial solutions and four nontrivial solutions by a similar variational approach, depending on the position of a suitable parameter with respect to the eigenvalues of the linear part.

Meanwhile, we obtain some results about the existence of solutions of the Dirichlet problem associated with the stationary Schrödinger operator in a cone and about the type of their uniqueness.

In order to obtain more information about the existence and form of ZnO in the ZnO/SBA-15 nanocomposites, the 20 wt% ZnO/SBA-15 nanocomposite was calcined at different temperatures and analyzed by XRD.

This way we will obtain a result about the existence of the limit of Riemann-Stieltjes sums, which we will denote by (int_{a}^{b} f,mathrm{d}g), for functions from (mathcal{U}^{p} ( [a,b ] )) and (mathcal{U}^{q} ( [a,b ] )) whenever (p,q>1), (p^{-1}+q^{-1}>1).

Recently, several papers [4, 8 10] considered some new coupled systems of fractional differential equations and obtained some new results about the existence and uniqueness of solutions by using general methods.