The values of the bond stretching, angle bend, stretch bend and out-of-plane bending terms are constant for all conformers of the same molecule; only the torsion, Van der Waals and electrostatic terms were repeatedly evaluated.
The task of getting the context of a Web page is not trivial, since the text of the page may present misspellings, synonymy, polysemy, bending terms, parts that do not refer to the content (e.g., header, footer, menu columns, advertisements), among others.
Second, we transform problem (1.5) into a differential systems without bending term, i.e., the technique to deal with bending term is completely different from that of [7, 19 21].
The method to deal with the bending term of beam equations in this paper is completely different from that of [8, 16 18], which opens a new technique to study the beam equations with the bending term.
Secondly, we transform problem (1.1) into a differential system without bending term, i.e., the technique to deal with bending term is completely different from that of [8, 16 18].
(3) The method to deal with the bending term of beam equations in this paper is completely different from that of [8, 16 18], which opens a new technique to study the beam equations with the bending term. .
Using a new technique for dealing with the bending term of beam equations, we consider the existence and multiplicity of positive solutions for a beam equation.
Although the final term, ∆ϕ Bend, includes the third-order TEC, higher-order geomagnetic, geometric ray-bending, and ray-bending due to the excess path delay and transverse heterogeneity of TEC (Hernández-Pajares et al. 2014), we call it the bending term for simplicity because the former two contributions would be much smaller than the more dominant terms in ∆ϕ TEC and ∆ϕ Mag.
On the one hand, explicit time-stepping schemes suffer from a severe stability constraint due to the stiffness related to high-order spatial derivatives in the bending term.
Using a new technique for dealing with the bending term of the fourth order p-Laplacian elasticity problems, several new and more general results are obtained for the existence of at least single, twin or triple positive solutions.
