Having taken an early seed funding round from Thai e-book startup Ookbee and Singles Solution (Infinity Levels CEO and co-founder Nikki Assavathorn's other business), it has now pulled in this new round from InVent, a VC firm with links to Thai operator AIS.
(i) [ λ 1 ( b ∞ ), λ 1 ( b ∞ ) ] is a bifurcation interval of positive solutions from infinity for (1.1), (1.2), and there exists no bifurcation interval of positive solutions from infinity which is disjoint with [ λ 1 ( b ∞ ), λ 1 ( b ∞ ) ].
Finally, whatever the fuzzy system under consideration, there is no need to study its invertibility beforehand since the algorithm is able to handle all possible situations (no solution, one unique solution, multiple solutions, an infinity of solutions).
The growth properties of the solutions at infinity enter into play and the best way to qualify this is through the Nevanlinna approach [16].
However, in the limit point case, whether the set of (L^2) solutions near infinity is 0 or 1 dimensional can be z dependent.
In fact, a proper functional setting assumes certain admissible asymptotic decay of solutions at infinity, which, for (1.4), is governed by the corresponding linearised operator.
(1.3) We can suppose that (sup{mathbb{ T}}=infty) since we are interested in the oscillatory behavior of solutions near infinity.
Namely, by a linearised analysis we first check that equation (1.4) provides us with a sufficient 'amount' of exponentially decaying solutions at infinity.
We use the abstract bifurcation theorems concerning the bifurcation of continua of solutions from infinity for the operator equation z = λ L z + H ( λ, z ).
Since we are interested in the oscillatory and asymptotic behavior of solutions near infinity, we assume that and define the time scale interval by.
Since we are interested in the oscillatory behavior of solutions near infinity, we make the assumption throughout this paper that the given time scale T is unbounded above.
