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The input-output method considered in this paper is the admissibility of a pair of function spaces.
The contract is a pair of function (q,π) : Θ → Q × ℜ that can be viewed as a rule relating the choice of q and π about sources' type θ.
A pair of function spaces is called admissible for an evolution family on the Banach space if for every test function in the input space there exists a unique solution function in the output space for the associated integral equation given by the variation of constants formula (see Definition 3.5 below).
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The question on everyone's lips: How do they make a decent dress or a jacket, with sleeves, or a pair of functioning shoes for $8.98?
Kolmogorov invented a pair of functions to characterize the transition probabilities for a Markov process and showed that they amount to what he called an "instantaneous mean" and an "instantaneous variance".
A pair of functions is called a subsolution of (1.1)–(1.3) if (2.1).
We consider the problem of finding a pair of functions ((u r,t),f(r))).
A pair of functions ((u,v in C [0,1] times C([0,1])) is called a solution of system (1.1) if it satisfies (1.1).
Recently, Doric [10] extended the result of Zhang and Song using a pair of functions ψ and φ.
Problem 2 Determine a pair of functions ( u, λ ) defined in Ω that satisfies L u = λ ( x, φ ) (4).
Problem 1 Determine a pair of functions ( u, λ ) from the transport-like equation (2) provided that the function K is known and u satisfies conditions (3).
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