Riccati transformation and nonoscillation criterion for linear difference equations
Copyright policy )Riccati transformation and nonoscillation criterion for linear difference equations
We consider a general class of linear difference equations. Using a variation of the discrete Riccati method, we obtain a straightforward nonoscillation criterion for the treated equations. In contrast to a number of known criteria, we do not need to consider any auxiliary sequences. We use the coefficients of the treated equations directly. To illustrate the novelty and the usage of the presented criterion, we provide corollaries and examples.
- Masaryk University Czech Republic
Oscillation theory for difference equations, Linear difference equations, discrete Riccati method, Discrete version of topics in analysis, nonoscillation criterion, Additive difference equations
Oscillation theory for difference equations, Linear difference equations, discrete Riccati method, Discrete version of topics in analysis, nonoscillation criterion, Additive difference equations
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