Sentence examples for giving some applications from inspiring English sources

We finish by giving some applications in Sturm Liouville inverse theory.

Thereafter, Nieto and Rodríguez-López [2] slightly modified Ran and Reurings' fixed point theorem for an increasing mapping not necessarily continuous by assuming an additional hypothesis on the ordered metric space and also proved some related results on ordered metric spaces besides giving some applications to ordinary differential equations.

We give some applications of these homomorphisms.

We give some applications to linear forms.

We give some applications to cyclic codes.

We also give some applications of the above results.

We give some applications for its third order version.

I will outline the proof of our relative volume comparison and give some applications.

We also give some applications to the singular perturbation theory of self-adjoint operators.

We also give some applications to the boundedness of the Hardy operator Sƒ = ∫x0ƒ from Λp0u0 w0) into Λp1u1 (withwith 0 < p0 ≤ p1.

Then, we give some applications to the original Schrödinger operators including one-dimensional Schrödinger operators with L2-operator-valued potentials, multidimensional Schrödinger operators with slowly decaying potentials.