Sentence examples similar to there existed various from inspiring English sources

In [44], Kang et al. have improved and generalized the work of [34] by applying the fixed point theory in cone for a strict set contraction operator; they proved that there exist various results on the existence of positive solutions to a class of fourth-order singular boundary value problems with integral boundary conditions (1.2).

Below the earth surface there exists various soil layers with different dielectric constants.

In the total product lifecycle there exist various kinds of disturbances which may deteriorate product quality and functionality.

For Asian writing systems there exist various strategies for segmentation, which have different strengths and weaknesses (Xia 2000: 5–6).

Currently there exist various approaches that evolve control architectures to the next level, but none of them address flexible function deployment at the same time with legacy support.

Considerations on the use of such solutions in the proposed flow are presented in Section 3. As reported in Section 2, there exist various implementations of multicore platforms based on soft-core processors.

Positive lymph node metastasis in UICC is N1, while in JPS there exist various grades depending on the distance from the main tumor (N1, N2, N3).

Alongside the written language, there exist various regional vernaculars and dialects of Arabic (these are termed collectively al-ʿammiyyah, "common" Arabic), which differ widely from the literary variant as well as from one another.

There exist various methodologies to realize TBD.

There exist various iterative methods for solving nonlinear scalar equations.

Depending upon the situation, there exist various cases for UCTsP.