Sentence examples for a global branch from inspiring English sources

From this point of view, for the case that p ( x ) is a constant function, the existence of a global branch of solutions for the problem (B) was attained in [11] (for generalization to equations involving nonhomogeneous operators, see also [12]) when μ is not eigenvalue of (E).

While most of those results considered global branches bifurcating from the principal eigenvalue of the p-Laplacian, under suitable conditions, Väth [10] introduced another new approach to establish the existence of a global branch of solutions for the p-Laplacian problems by using nonlinear spectral theory for homogeneous operators.

Then, for any ((d_{1}^{i},d_{2}) in widehat{B}cap C_{i}) with (d_{2}) fixed, there is a smooth curve (Gamma_{i}) of positive solutions of (3.1) bifurcating from ((d_{1},u,v)=(d_{1}^{i},u_,v_)) with (Gamma_{i}) contained in a global branch (C_{i}) of the positive solutions of (3.1).

While many researchers considered global branches bifurcating from the first eigenvalue of the p-Laplacian, Väth [20] came at it from another viewpoint to establish the existence of a global branch of solutions for the p-Laplacian with Dirichlet boundary condition by applying nonlinear spectral theory for homogeneous operators.

To evaluate whether strigolactone can act as a global branch suppressor, we analysed the branching pattern in Physcomitrella mutants that over express the pea strigolactone synthesis gene, RMS1 (Proust et al., 2011).

To obtain the most accurate branch length estimates possible, the option prset ratepr = variable (assigns a separate branch length parameter for each partition) was employed as per the recommendations of Marshall et al.[ 53], who found that BI analyses of partitioned data with a global branch length parameter resulted in significantly longer overall tree length.

It is analytically shown that for all kinds of elastoplastic behaviors, the plasticity phenomena lead to a global softening branch in the load deflection diagram.

A global optimisation branch and bound algorithm with bounds evaluated using probabilistic generalised interval methods is presented in the present paper.

In our opinion the existence of a global bifurcating branch ensured by Theorem 3.3 should hold also without the assumption that f is locally Lipschitz in the second variable.

That is, given an open subset Ω of [ 0, + ∞ ) × C T ( M ), it is a result which provides sufficient conditions for the existence of a global bifurcating branch in Ω, meaning a connected subset of Ω of nontrivial T-periodic pairs whose closure in Ω is noncompact and intersects the set of trivial T-periodic pairs.

A statement by Ayman al Zawahri, the leader of al Qaeda's global branch, urged Saudis to overthrow the al Saud ruling dynasty and the movement's followers elsewhere to damage the kingdom by attacking its Western allies.