\(h\)-stability of dynamic equations on time scales with nonregressivity. (English) Zbl 1154.34023

Summary: We study the \(h\)-stability of dynamic equations on time scales, without the regressivity condition on the right-hand side of dynamic equations. This means that we can include noninvertible difference equations into our results.


34D20 Stability of solutions to ordinary differential equations
34A30 Linear ordinary differential equations and systems
39A10 Additive difference equations
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