Numeric characteristics for asymptotic stability of solutions to linear difference equations with periodic coefficients.
Aydin, K., Bulgak, H., Demidenko, G.V. (2000)
Siberian Mathematical Journal
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Aydin, K., Bulgak, H., Demidenko, G.V. (2000)
Siberian Mathematical Journal
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Li, Yongkun (2006)
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This paper is concerned with a class of nonlinear difference inequalities which include many different classes of difference inequalities and equations as special cases. By means of a Riccati type transformation, necessary and sufficient conditions for the existence of eventually positive solutions and positive nonincreasing solutions are obtained. Various type of comparison theorems are also derived as applications, which extends many theorems in the literature.
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Akishev, G.A. (2006)
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Electronic Journal of Differential Equations (EJDE) [electronic only]
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Bainov, D.D., Dimitrova, M.B., Petrov, V.A. (1998)
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Georgian Mathematical Journal
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