Equilibrium stability for the discrete diamond-alpha operator

DOI10.1007/S40840-022-01417-7OpenAlexW4309925697MaRDI QIDQ2683153

Douglas R. Anderson, Masakazu Onitsuka

Publication date: 3 February 2023

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-022-01417-7

zbMATH Keywords

radial solutionsLyapunov stabilitypolar coordinatesforward difference operatorequilibrium solutionfirst orderbackward difference operatorHilger circlediamond-alpha derivativediamond-alpha ellipse

Mathematics Subject Classification ID

Difference operators (39A70) Stability theory for difference equations (39A30) Linear difference equations (39A06)

Related Items (1)

Hyers-Ulam stability of a second-order finite difference scheme using a diamond-\(\alpha\) difference operator

Cites Work

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• An exploration of combined dynamic derivatives on time scales and their applications
• Notes on the diamond-\(\alpha\) dynamic derivative on time scales
• Novel diamond alpha Bennett-Leindler type dynamic inequalities and their applications
• On the Stability of the Linear Mapping in Banach Spaces
• Applications of the novel diamond alpha Hardy–Copson type dynamic inequalities to half linear difference equations
• Hyers–Ulam Stability of a Discrete Diamond-Alpha Derivative Equation

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