Sentence examples for extend the existence of from inspiring English sources
We try to extend the existence of solutions for semilinear Dirichlet problems on the Heisenberg balls in [9] to general Carnot domains.
We extend the existence of solution by the upper and lower solution methods and generalized monotone method for first-order impulsive hybrid equation.
In this paper, we investigate and extend the existence of a fixed point of ((psi,phi -contractive mappings on quasi-partial metric spaces via α-admissibility.
Moreover, we extend the existence of extremal solutions from initial value problems to boundary value problems for infinite quasi-monotone functional systems of fractional differential equations.
So it is natural for us to ask what the weak solution for problem (1.1 - 1.2 1.1 - 1.2at sup-critical initial energy level E ( 0 ) > 0. In this paper we intend to extend the existence of globehavesutions in [5] with atbitrarily positive initial energy.
Tales of this sort extend the existence of your antagonists; most likely they are counting on your being talkative and relating your experience to others.
Especially, our Theorem 3.1 extends the existence of solution in the literature to the case of generalized extended nonlinear variational inequality (2.1).
Daniel E. Lieberman, a human evolutionary biologist at Harvard who was not involved in the research, wrote in a commentary for the journal that the hominin foot "is a valuable addition to the fossil record as it extends the existence of Ardipithecus-like feet by a million years".
Such enzyme is the first example of a DING protein in Archaea, and this finding extends the existence of DINGGG proteins into all the biological kingdoms [9].
Recently, Dhage [9] extended the existence of PPF dependent fixed points to PPF common dependent fixed points for mappings satisfying the weaker contractive conditions.
After that Dhage [11] extended the existence of PPF dependent fixed points to PPF common dependent fixed points for mappings satisfying the weaker contractive conditions.
