Sentence examples for dealing with solutions from inspiring English sources

We cannot infer from the previous section that the zero energy limit of the inter-dimensional Green's function calculated there also yields a dimensionally hybrid potential, because we were dealing with solutions of Schrödinger's equation instead of the Gauss law.

One of the first works dealing with solutions concentrating around a sphere is [6] in which Ambrosetti, Malchiodi and Ni give necessary and sufficient conditions under which (1.1) exhibits solutions concentrating around a sphere.

We deal with solutions vanishing at infinity in the class of the finite Dirichlet integral.

It will be focused on two different disciplines and related numerical approaches which deal with solutions of the mentioned task: form finding of prestressed membranes and general shape optimization.

Most of the previous studies dealt with solutions using Legendre, Chebyshev, and Gegenbauer polynomials.

Scout bees deal with solutions which have been stopped updating, which avoids local optimum at some degree.

In this paper, we deal with solutions of problems (1.3) and (1.4) with finite Morse indices, which are possibly sign-changing.

A smaller number dealt with solutions.

Three papers deal with solution properties of the diffusion equation and the nonlinear parabolic problems.

There are also a few papers dealing with the solutions and positive solutions for nonlocal FBVPs; see [22 28].

Note that, dealing with nonoscillatory solutions of (1.1), we may restrict our considerations just to eventually positive solutions without loss of generality.