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Frequent oscillation in a nonlinear partial difference equation

100%

Yang J., Zhang Y., Cheng S.

Open Mathematics

2007

tom 5

nr 3

607-618

This paper is concerned with a class of nonlinear delay partial difference equations with variable coefficients, which may change sign. By making use of frequency measures, some new oscillatory criteria are established. This is the first time oscillation of these partial difference equations is discussed by employing frequency measures.

Necessary and sufficient conditions for oscillations of delay partial difference equations

100%

Zhang B., Liu S.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1995

tom 15

nr 2

213-219

This paper is concerned with the delay partial difference equation (1) $A_{m+1,n}+A_{m,n+1}-A_{m,n} + Σ_{i=1}^u p_i A_{m-k_i, n-l_i} = 0$ where $p_i$ are real numbers, $k_i$ and $l_i$ are nonnegative integers, u is a positive integer. Sufficient and necessary conditions for all solutions of (1) to be oscillatory are obtained.

Ograniczanie wyników

1 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1 Open Mathematics

1 Cheng S.

1 Liu S.

1 Yang J.

1 Zhang B.

1 Zhang Y.

1 2007

1 1995

Wyniki wyszukiwania

Frequent oscillation in a nonlinear partial difference equation

Necessary and sufficient conditions for oscillations of delay partial difference equations