The phrase "an increasing solution" is correct and usable in written English.
It can be used in mathematical or scientific contexts to describe a solution that grows or increases in value or magnitude.
Example: "The function has an increasing solution that approaches infinity as x approaches zero."
Alternatives: "a growing solution" or "an ascending solution".
So, is an increasing solution of problem (1.1), (1.10) on and for.
It was found that adsorption of these four metal ions increased with an increasing solution pH and dosages.
If (v(x)) is an increasing solution to (1.1), then (v L-x)) is a decreasing solution.
Looking forward in time, on the contrary, the existence and uniqueness for (31) ensure that there is an increasing solution starting at π for (t to-infty), whose behavior is determined by the value of A (taken into account that (y_{0} u)=B+Bcos u) is a forward upper solution which vanishes at (u=3pi)).
We conjecture that we should take an increasing solution in order to remain in the set SV.
GAMS consists of high-performance solvers for solving MIP models efficiently, each of which improves upon the basic approach in different ways to attain an increased solution performance.
Moreover, an increased solution pH (pH ≥ 7) generated a faster organic degradation rate and a decrease in metal leaching (0.004 mM) for LCM55 perovskite, justifying it as a potential material for environmental remediation.
An alternative macroscopic explanation could be that chain exchange was slowed due to an increased solution viscosity at higher polymer concentrations.
The existence of a strictly increasing solution (a homoclinic solution) satisfying, is proved provided that has two zeros and a linear behaviour near.
According to Definition 1.2, a homoclinic solution is a strictly increasing solution of problem (1.1), (1.2).
An important question is the existence of a strictly increasing solution of (1.1), (1.2) because if such a solution exists, many important physical properties of corresponding models can be obtained.
