Best constant for Ulam stability of Hill's equations
Ryuma Fukutaka, Masakazu Onitsuka
Abstract
The purpose of this study is to consider Ulam stability (US) of a class of Hill's equations and to derive the best (minimal) Ulam stability constant (US constant). The best constant can be obtained by using a different method from the previous studies. The easy-to-calculate US constant, which is close to the best one, is also obtained. An example is included for comparison with previous studies.
Topics & Concepts
Constant (computer programming)Stability (learning theory)MathematicsConstant coefficientsClass (philosophy)Applied mathematicsMathematical analysisComputer scienceMachine learningProgramming languageArtificial intelligenceFunctional Equations Stability ResultsGrouting, Rheology, and Soil Mechanics