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Similarly, the lower solution can be defined by reversing all the inequalities.
In this sense, the (greedy) game solution can be defined as a pure-strategy Nash equilibrium (NE).
The foam stability of a surfactant solution can be defined as the change in foam volume, i.e., the volume of liquid drained from the foam, per unit time (Bera et al. 2013).
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Conflict resolution can be defined as the informal or formal process that two or more parties use to find a peaceful solution to their dispute.
The thermodynamic driving force of enamel de- or remineralization is a function of the degree of saturation with respect to HA DSHAA) [ 59, 60], and the degree of saturation of a solution (DS) can be defined by dividing the product of the ion activities (IP) by K, and exposing this result to the number of ions in the formula unit [ 61].
For each ∈ R + × C [m, σ], R), there exists a unique solution x t) = x t, σ, ψ ) of (1) defined on [σ, ∞). Similarly, the solution of (2) can be defined. Next, we state some definitions of the stability. Definition 2.1.
By Remark 2.1, the solution x ( t ) can be defined for all t ∈ [ 0, + ∞ ).
According to [22, 23], a mild solution of (1.1) can be defined as follows.
In view of the boundedness of this solution, from the theory of impulsive differential equations in [1], it follows that the solution of system (1.1) can be defined on [ 0, + ∞ ). Lemma 2.2 Suppose that ( H 1 )-( H 6 ) are true.
Then a mild solution of system (1.1) can be defined as follows.
System (1.7) has aunique (up to constant factor) non-trivial solution b k, which can be defined by the identity b k T x ≡ det ( a k − 5, a k − 4, a k − 3, a k − 2, a k − 1, x ) ∀ x ∈ R 6. Open image in new window.
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