Sentence examples for excellent existence from inspiring English sources
More recently, by using a unified approach, Webb et al. [45] considered the widely studied boundary conditions corresponding to clamped and hinged ends and many nonlocal boundary conditions and established excellent existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam (1.3).
The only being that meets this condition is the most real or maximally excellent being — a being with all perfections, including existence.
The "musical comedy" stops here, as the imaginary musicians who have been haunting Halder's existence (excellent live music led by Tim van Eyken) are replaced by an actual orchestra of camp inmates performing a Schubert march.
It's great that the Academy is aware of the existence of excellent female cinematographers, but it will be even greater when the Academy expands its scope regarding the art itself.
To relax the criteria degree theory plays an excellent role for the existence of solutions to FDEs and their systems.
end{cases} (1.1) The author got several excellent results on the existence of positive solutions to problem (1.1).
The author established some excellent results for the existence of positive solutions to the above problem by using the fixed point theorem in cones.
For the discrete case, there are also several excellent results on the existence of positive solutions of the discrete third-order boundary value problems; see, for instance, [11 16] and the references therein.
Hitachi has recently shown a new version of its humanoid robot EMIEW2 (Excellent Mobility and Interactive Existence as Workmate2), which can scoot around on broken ground (the robot handles bumps that are up to 1.5cm high), recognize and distinguish between different human voices and converse with people.
where On the other hand, the multipoint boundary value problems arising naturally from applied mathematics and physics have been studied so extensively in scalar case that there are many excellent results about the existence of positive solutions (see, i.e., [6 12] and references therein).
Finally, it must be mentioned that there are some excellent results on the existence of the positive solutions of BVPs for ordinary differential equations when the Green's functions change their signs; see Sun et al. [19 21] and Palamides et al. [22, 23] and references therein.
