The phrase "extend the existence" is correct and usable in written English.
It is often used to suggest that some kind of change can be made to extend the life or duration of something. For example, you could say, "The government is taking steps to extend the existence of public programs."
In this section, we extend the existence results presented in Section 3 to the global situation.
Our results extend the existence results on multibump type solutions in Coti Zelati and Rabinowitz (1992) [17] to the quasilinear case.
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.
Inspired by [36], we will extend the existence and multiplicity of solutions for (1.5) to the general case for (1.5) with N > p > 1, ϖ ≥ 1.
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.
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".
Our result gives both the existence and approximation of solutions to Caputo fractional order hybrid differential equations and also extends the existence results for ordinary hybrid differential equations.
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.
