Applying the parameter selection method to improving the existence conditions for the repulsive potential function, the universality of the potential-function-based algorithm is enhanced.
Meanwhile, we also improve the existence result for frame self-orthogonal Mendelsohn triple systems of type hn by reducing an infinite class of possible exceptions, namely n= 9 and h≡2mod6, to eight undetermined cases.
Motivated by the works [2, 6, 9, 17 26], we will use variational methods to generalize and improve the existence results on sign-changing solutions in reference to the relaxing assumption (Ne).
And let's not forget the upshot: These decisions are improving the existence of hundreds of thousands of laying hens in this country (not to mention those of workers and surrounding neighbors).
These differences that indicate the frequency, sound color, strength and speed of sounds improve the existence of an interference wave between the heart and respiratory sounds.
"There's not a downside to helping offenders understand their role in the cycle of violence and how to break it," she said, describing restorative justice as a way of "improving the emotional existence and ethical awareness" of dangerous offenders.
In the present paper, we will study the model (1.3) in the subcritical α > 1 2 and critical case α > 1 2. On the one hand, we will establish the solution with lower regularity for initial data θ 0 ∈ Ḣ 1 , and this improved the global existence for initial data θ0 ∈H s (s > 1) in [1].
Builders, engineers, medics, lawyers, and chefs: finding ways to use their skills in ways that can improve the daily existence of many.
