e-isometric approximation problem.

Ma, Yumei

Displaying similar documents to “e-isometric approximation problem.”

Non-oscillation of second order linear self-adjoint nonhomogeneous difference equations

N. Parhi (2011)

Mathematica Bohemica

Similarity:

In the paper, conditions are obtained, in terms of coefficient functions, which are necessary as well as sufficient for non-oscillation/oscillation of all solutions of self-adjoint linear homogeneous equations of the form $Δ (p_{n - 1} Δ y_{n - 1}) + q y_{n} = 0, n \geq 1,$ where $q$ is a constant. Sufficient conditions, in terms of coefficient functions, are obtained for non-oscillation of all solutions of nonlinear non-homogeneous equations of the type $Δ (p_{n - 1} Δ y_{n - 1}) + q_{n} g (y_{n}) = f_{n - 1}, n \geq 1,$ where, unlike earlier works, $f_{n} \geq 0$ or $\leq 0$ (but $\neg \equiv 0)$ for large $n$ . Further, these results are...

Oscillatory and asymptotic behaviour of perturbed quasilinear second order difference equations

Ethiraju Thandapani, L. Ramuppillai (1998)

Archivum Mathematicum

Similarity:

This paper deals with oscillatory and asymptotic behaviour of solutions of second order quasilinear difference equation of the form $Δ (a_{n - 1} | Δ y_{n - 1} |^{α - 1} Δ y_{n - 1}) + F (n, y_{n}) = G (n, y_{n}, Δ y_{n}), n \in N (n_{0}) (E)$ where $α > 0$ . Some sufficient conditions for all solutions of (E) to be oscillatory are obtained. Asymptotic behaviour of nonoscillatory solutions of (E) are also considered.

On some boundary value problems for nonlinear fourth order ordinary differential equations

Michal Čverčko (1975)

Časopis pro pěstování matematiky

Similarity:

On a max-type difference equation.

Gelisken, Ali, Cinar, Cengiz, Yalcinkaya, Ibrahim (2010)

Advances in Difference Equations [electronic only]

Similarity:

Boundedness and global attractivity of a higher-order nonlinear difference equation.

Jia, Xiu-Mei, Li, Wan-Tong (2010)

Discrete Dynamics in Nature and Society

Similarity:

Oscillation of forced nonlinear neutral delay difference equations of first order

N. Parhi, Arun Kumar Tripathy (2003)

Czechoslovak Mathematical Journal

Similarity:

Necessary and sufficient conditions are obtained for every solution of $Δ (y_{n} + p_{n} y_{n - m}) \pm q_{n} G (y_{n - k}) = f_{n}$ to oscillate or tend to zero as $n \to \infty$ , where $p_{n}$ , $q_{n}$ and $f_{n}$ are sequences of real numbers such that $q_{n} \geq 0$ . Different ranges for $p_{n}$ are considered.