By applying our results, we can easily obtain the necessary and sufficient conditions, which can be verified in nearly optimal time, for the existence of all shortest vertex-disjoint paths in generalized hypercubes and odd tori.
We also provide evidence, for the first time, for the existence of an anti-migratory IL-13-STAT6-TP63 signaling axis that may exert metastasis-suppressing effects on breast cancer cells.
This space is at the critical regularity for this equation, and in this setting there is no global well-posedness nor any uniform control on the local time of existence for arbitrary initial data.
In the present work, we established a uniform time of existence and estimates for solutions of problem (1.1 - 1.3 1.1 - 1.3
Altogether, our findings for the first time provide evidence for existence of a putative CXCR4/CCL20 interaction that could be involved in cancer development processes.
For this end, a dynamic controller is proposed for the first time and a criterion for existence of the controller is given in terms of LMIs.
Yet at the same time, this was our reason for existence.
You blame an intense work schedule, high cost of gym memberships, and lack of time for your gluttonous, slovenly existence.
It follows from [39] that system (3) admits a unique local solution on ([0, T_{max })), where (T_{max }) is the maximal existence time for solution of system (3).
By standard existence theory [32 34], it is easy to establish the local existence of the unique solution ((u x,t), w x,t), v x,t),z x,t))) of model (2) for (xinoverline{Omega}) and (tin[0,T_{max}]), where (T_{max}) is the maximal existence time for solution of the model (2).
