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Leighton-Type Theorems for Nonlinear q-Difference Equations
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DOI：10.1007/s12346-025-01401-z.png)
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In this work, we present a detailed study of Leighton type oscillation criteria for second-order nonlinear q-difference equations, primarily assuming a monotonicity condition on the nonlinear function. The paper extends the classical Leighton oscillation theorem to nonlinear q-difference equations in both canonical and non-canonical cases, by employing an oscillation-preserving transformation. Furthermore, we show that the monotonicity condition may be avoided by imposing a sign condition on a coefficient and decomposing the nonlinear function into sum of two nonlinear functions. Examples are given to illustrate the importance and the applicability of the results.
Keyword:
Second-order
q-difference equation
Nonlinear
Oscillation
期刊
Q
IF:
2.1
论文数:
155
被引数:
0
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