Sentence examples for by using an integral from inspiring English sources

The frequencies are obtained by using an integral equation technique.

For this, the normal vector estimation is performed by using an integral image.

For the nominal system (2.18), we will give a stability condition by using an integral inequality approach as follows.

The boundary conditions of traction free laminate edges are satisfied in an average sense by using an integral formulation.

On the other hand, Branciari [3] generalized the Banach contraction principle for a single-valued mapping by using an integral type of contraction.

By using an integral equation and functional equations of the generating functions and their partial differential equations (PDEs), we give a recurrence relation for the Apostol-Daehee polynomials.

To present our next theorems, we first introduce Saker's result [29] as follows begin{aligned} ((t-s)^{mathcal {N}})^{Delta _{s}}le -mathcal {N} t-sigma (s))^{N} t-sigma}-1}le 0 quad ~text{ for }~quad mathcal {N}>1 ~quad text{ and }quad ~ sigma (s) le t. end{aligned} (3.32)By using an integral averaging technique of Kamenev-type, we present some new oscillation criteria of (1.2).

By using a Fourier integral transform technique, the mixed boundary value problem is reduced to a Cauchy type singular integral equation with an unknown function as the derivative of the crack surface displacement.

The problem was examined in [9] by using a new integral representation of the Jost solution of (1).

The resulting nonlinear eigenvalue problem (NEVP) is converted into a small linear one by using a contour integral method.

In this paper, we introduce a new class of multivalent functions by using a generalized integral operator defined by the hypergeometric function.