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On asymptotic behaviour of oscillatory solutions for fourth order differential equations.

Padhi, Seshadev; Qian, Chuanxi — 2007

Electronic Journal of Differential Equations (EJDE) [electronic only]

Global attractivity in a nonlinear difference equation.

Qian, Chuanxi; Sun, Yijun — 2007

Electronic Journal of Differential Equations (EJDE) [electronic only]

Multiple positive solutions of a boundary value problem for ordinary differential equations.

Graef, John R.; Qian, Chuanxi; Yang, Bo — 2003

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Existence and global attractivity of periodic solutions in a higher order difference equation

Chuanxi Qian; Justin Smith — 2018

Archivum Mathematicum

Consider the following higher order difference equation $x (n + 1) = f (n, x (n)) + g (n, x (n - k)), n = 0, 1, \dots$ where $f (n, x)$ and $g (n, x) : {0, 1, \dots} \times [0, \infty) \to [0, \infty)$ are continuous functions in $x$ and periodic functions in $n$ with period $p$ , and $k$ is a nonnegative integer. We show the existence of a periodic solution ${\tilde{x} (n)}$ under certain conditions, and then establish a sufficient condition for ${\tilde{x} (n)}$ to be a global attractor of all nonnegative solutions of the equation. Applications to Riccati difference equation and some other difference equations derived from mathematical biology are also given.

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Currently displaying 1 – 4 of 4

On asymptotic behaviour of oscillatory solutions for fourth order differential equations.

Global attractivity in a nonlinear difference equation.

Multiple positive solutions of a boundary value problem for ordinary differential equations.

Existence and global attractivity of periodic solutions in a higher order difference equation