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Frequent oscillatory criteria for partial difference equations with several delays. (English) Zbl 1068.39028

A class of unforced partial difference equations with several discrete delays is considered. Solutions are classified according to whether or not they tend to a sign-definite steady state value. Eventually sign-indefinite solutions are labeled as oscillatory. Sufficient conditions are presented for the existence of oscillatory solutions of this class of equations.

MSC:

39A11 Stability of difference equations (MSC2000)
39A12 Discrete version of topics in analysis
35R10 Partial functional-differential equations
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References:

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