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Under the background of perfect fluid and flat Friedmann–Lemaître–Robertson–Walker (FLRW) space-time, this paper mainly describes the dynamics of the cosmological model constructed in f (R , T) gravity on three invariant planes, by using the singularity theory and Poincaré compactification in differential equations. [ABSTRACT FROM AUTHOR]

When the cosmological constant is non-zero, the dynamics of the cosmological model based on Hořava--Lifshitz gravity in a non-flat universe are characterized by using the qualitative theory of differential equations. [ABSTRACT FROM AUTHOR]

The global dynamics of a cosmological model based on Hořava–Lifshitz gravity in the presence of curvature is described by using the qualitative theory of differential equations. [ABSTRACT FROM AUTHOR]

Using the qualitative theory of the differential equations we describe the global dynamics of the cosmological model based on Hořava–Lifshitz gravity in a Friedmann–Lemaître–Robertson–Walker space time with zero curvature and without the cosmological constant term. [ABSTRACT FROM AUTHOR]

Abstract: By means of Mawhin’s continuation theorem, we study a class of p-Laplacian Duffing type differential equations of the form Some new results on the existence and uniqueness of periodic solutions for the above equation are obtained. It is significant that the growth degree with respect to the variables imposed on is allowed to be greater than , so our results generalize and improve on the corresponding results in related papers. [Copyright &y& Elsevier]