### On representation of a solution to a modified Cauchy problem.

Mamadaliev, N.K. (2000)

Siberian Mathematical Journal

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Mamadaliev, N.K. (2000)

Siberian Mathematical Journal

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Grigor'eva, E.G. (2000)

Siberian Mathematical Journal

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Akysh, A.Sh. (2002)

Sibirskij Matematicheskij Zhurnal

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Myslivets, S.G. (2001)

Sibirskij Matematicheskij Zhurnal

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Goginava, U. (2000)

Georgian Mathematical Journal

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Antipova, I.A. (2000)

Siberian Mathematical Journal

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Akishev, G.A. (2006)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

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Yang, Dachun (2002)

Georgian Mathematical Journal

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Èmanuilov, O.Yu. (2000)

Sibirskij Matematicheskij Zhurnal

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Petojević, Aleksandar (2005)

Novi Sad Journal of Mathematics

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Sui Cheng, Guang Zhang (2000)

Annales Polonici Mathematici

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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.

Bretti, Gabriella, Natalini, Pierpaolo (2004)

Georgian Mathematical Journal

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Abramovich, S., Ivelic, S., Pecaric, J.E. (2010)

Banach Journal of Mathematical Analysis [electronic only]

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Imaninezhad, M., Miri, M. R. (2010)

Acta Mathematica Universitatis Comenianae. New Series

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