Sentence examples for twin solutions from inspiring English sources
end{aligned} Single or twin solutions of problem (1.1 - 1.3 1.1 - 1.3case (alpha(t)leq t) on J is treated in the forlowing theorems.
The following theorem deals with further results on twin solutions of problem (1.1 - 1.3 1.1 - 1.3case oforalpha(theeq t) on J. Assume that (H1)-(H4) and (alpha (t)leq t) on J.
which are twin positive solutions of BVP (1.1).
Section 4 will further discuss the existence of twin positive solutions of problem (1.5).
are some twin wave solutions with singularity to the Euler equations (2.6).
These are a global smooth twin wave solutions pair for any constant vectors C ∈ R 2. w = Q T u ( Q x, t ), p ¯ = p ( Q x, t ) are also a twin wave solutions pair for any rotation matrices Q.
We investigate the existence of twin iterative solutions for a fractional p-Laplacian equation with nonlocal boundary conditions.
By using a fixed point theorem in cones, sufficient conditions are established for the existence of twin positive solutions.
are some twin wave solutions to (2.6), and they form a symmetry only at t = T, or they are static.
Section 4 will further discuss the existence of twin positive solutions of problem (1.1 - 1.2 1.1 - 1.2anced argument α.
Motivated by the mentioned works, in this paper, we consider the twin iterative solutions of fractional-order model for turbulent flow in a porous medium.
