During the ring-down oscillations, using self-coherence method, existence of time delay eliminates the effect of the linear correlation, which causes the peaks in the coherence method.
Combinability of DNA partitions was ascertained using Wien's [ 101] method: existence of corresponding but incongruent clades with bootstrap support greater than 70% are seen as support for not concatenating data sets.
With the help of the variational methods, the existence of a non-trivial solution is obtained.
By using variational methods, the existence of at least two positive solutions was obtained.
By using the least action principle and the minimax methods, the existence of periodic solutions for a class of second order Hamiltonian systems is considered.
In this paper, by using the variational methods, the existence of nontrivial solutions and the concentration phenomena of the solutions to equation (1.1) were established.
By use of the Nehari manifold and the direct variational methods, the existence of multiple positive solutions is established as λ ∈ ( 0, λ ∗ ), here the explicit expression of λ ∗ = λ ∗ ( f, h, p, q, S ) is provided.
Despite the fact the CO2-EOR is gaining dominance compared to other EOR methods, the existence of an unfavourable mobility ratio has hampered the efficiency of the CO2 usage as a favourable displacement fluid.
Moreover, when a study includes many population samples that were not characterized by the same molecular typing methods, the existence of different ambiguity patterns in different population samples further increases the complexity of the data.
By the combination of the Galerkin method and the monotonicity-compactness method, the existence of global solutions is obtained with the least amount of a priori estimates.
