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Mum had no laughter track, but that wasn't the singular difference about this remarkable comedy.
The singular difference equations (SDEs), which appear in the Leontiev dynamic model of multisector economy, the Leslie population growth model, singular discrete optimal control problems and so forth, have gained more and more importance in mathematical models of practical areas (see [1] and references cited therein).
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One of the singular differences between textbook market conditions and the myriad of market imperfections which plague the poor is a chronic lack of financial capital.
In this paper, utilizing the framework of the theory of singular difference equations, we give some necessary and sufficient conditions for the ϕ 0 -stability of a trivial solution of singular difference equations via cone-valued Lyapunov functions.
Using the framework of the theory of singular difference equations and cone-valued Lyapunov functions, some necessary and sufficient conditions on the ϕ 0 -stability of a trivial solution of singular difference equations are obtained.
Example 2 Consider the linear weakly singular difference equation x n ≤ a n + ∑ k = 0 n − 1 ( t n α − t k α ) β − 1 t k γ − 1 τ k b k x k (4.5).
It is unclear how well these singular differences between structures are captured in fixed size structural keys (such as those used by PubChem [72]).
This article studies the boundary value problems for the third-order nonlinear singular difference equations.
However, to the best of our knowledge, there are few results for the ϕ 0 -stability of singular difference equations.
A singular difference between LR and LRNRC values distinguishes the fortuitous match from the (presumed) real kinship regarding the missing daughter: the first does not support the maternity hypothesis (LRNRC = 0.08 versus LR = 2.62).
Together with the theory of DAEs, there has been a great interest in singular difference equation (SDE) (also referred to as descriptor systems, implicit difference equations) (1.2).
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