### On the convergence and summability of $N$-dimensional Fourier series with respect to the Walsh-Paley systems in the spaces ${L}^{p}\left({[0,1]}^{N}\right)$, $p\in [1,+\infty ]$.

Goginava, U. (2000)

Georgian Mathematical Journal

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Goginava, U. (2000)

Georgian Mathematical Journal

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Akhobadze, T. (2000)

Georgian Mathematical Journal

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Akysh, A.Sh. (2002)

Sibirskij Matematicheskij Zhurnal

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Yang, Dachun (2002)

Georgian Mathematical Journal

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Myslivets, S.G. (2001)

Sibirskij Matematicheskij Zhurnal

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Tevzadze, V. (2005)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Antipova, I.A. (2000)

Siberian 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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Akishev, G.A. (2006)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

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Grigor'eva, E.G. (2000)

Siberian Mathematical Journal

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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.

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

Banach Journal of Mathematical Analysis [electronic only]

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Miloš Tomić (2010)

Matematički Vesnik

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