Sentence examples for more positive solutions from inspiring English sources

Why do some adolescents respond to interpersonal conflicts vengefully, whereas others seek more positive solutions?

In [9 12], the authors deduced the existence of one or more positive solutions for fractional difference equations.

The focus of this paper is on the existence of one or more positive solutions of (1.1).

It is possible to state results for four or more positive solutions, in a similar way as in [48], by expanding the lists in conditions (S5), (S6).

We consider the existence of one or more positive solutions for the boundary value problem of the Caputo fractional difference equation (1).

Goodrich [3] deduced uniqueness theorems by means of the Lipschitz condition and deduced the existence of one or more positive solutions by using the cone theoretic techniques for this same boundary value problem.

Moreover, the equation has more and more multi-bump positive solutions as (lambdarightarrow0).

For more details of positive solutions of fractional differential systems and fractional BVPs with nonlocal conditions, see [20, 21] and references therein.

Note that, if the nonlinearity has a suitable oscillatory behavior, it is possible to state, with the same arguments as in [23], a theorem on the existence of more than two positive solutions.

For a fixed parameter P0, an equilibrium of (7 ) is a state C that satisfies, i.e. a solution of the algebraic equations R(C; P0 ) = 0. System (7) or the SSI module is said to have the capability of multiple equilibria, if there exists a parameter P0 such that the algebraic equations R(C P0 ) = 0 have more than one positive solutions.

For more information on the positive solutions (or nontrivial solutions) for a class of boundary value problems with the fractional differential equations (or q-fractional differential equations), we refer the reader to such earlier works as (for example) [5, 10, 22 31], and [32].