Oscillation and Property B for Semi-Canonical Third-Order Advanced Difference Equations
In this paper, we present sufficient conditions for the third-order nonlinear advanced difference equations of the form Δ(a(n))Δ(b(n)Δy((n)))=p(n)f(y(σ(n)))\Delta \left( {a\left( n \right)} \right)\Delta \left( {b\left( n \right)\Delta y\left( {\left( n \right)} \right)} \right) = p\left( n \right)f...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2022-03-01
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Series: | Nonautonomous Dynamical Systems |
Subjects: | |
Online Access: | https://doi.org/10.1515/msds-2021-0142 |
Summary: | In this paper, we present sufficient conditions for the third-order nonlinear advanced difference equations of the form
Δ(a(n))Δ(b(n)Δy((n)))=p(n)f(y(σ(n)))\Delta \left( {a\left( n \right)} \right)\Delta \left( {b\left( n \right)\Delta y\left( {\left( n \right)} \right)} \right) = p\left( n \right)f\left( {y\left( {\sigma \left( n \right)} \right)} \right)
to have property B or to be oscillatory. These conditions are based on monotonic properties and estimates of nonoscillatory solutions of corresponding canonical type equations. The obtained results extended and improve known results mentioned in the literature. |
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ISSN: | 2353-0626 |