Sentence examples for uniqueness and continuity of from inspiring English sources

Next, we consider the uniqueness and continuity of positive solutions on a parameter for problem (1.1).

Conditions on Γ that will guarantee the existence, uniqueness, and continuity of solutions to the above equation are given.

Next we consider the uniqueness and continuity of nontrivial convex solutions on a parameter for problem (1.2).

In 2008, Xu et al. [12] established the existence, uniqueness and continuity of the local solutions to ISFDEs by means of Driver theorem and Picard iteration.

In part two, we simultaneously prove uniqueness and continuity of (S t)) from (H^{s}times H^{s}) to itself for any fixed (T>0).

We study the existence, uniqueness and continuity of ¯¯ω(x) depending on properties of U, and how to attain higher regularity in terms of the geometry (curvature) of U.

In Section 3, we investigate the existence, uniqueness, stability, and continuity of solution to the nonlinear equation (1.3).

The right-hand side of system (2) ensures the existence, uniqueness, and piecewise continuity of its solution [27].

Anh and Khanh [15] further discussed the uniqueness and Hölder continuity of the solutions for perturbed equilibrium problems with set-valued mappings.

We show the existence, uniqueness, and continuity results.

We understand the solutions of the primal dual dynamics in the Caratheodory sense and characterize their existence, uniqueness, and continuity with respect to the initial condition.