Ulam stability for nonautonomous quantum equations

Anderson, Douglas R.; Onitsuka, Masakazu

doi:10.1186/s13660-021-02699-4

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction Studies Have Investigated the Properties Of The...1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, these studies did not use the above definition of conditional Ulam stability. The papers [5,6,7,8,9,14,16,22,28,27,30,29,36,49] are the latest studies on Ulam stability for linear differential and difference equations. In addition, research on Ulam stability for fractional differential and difference equations has increased, e.g., [1,11,13,15,20,45,47].…”

Section: Introduction Studies Have Investigated the Properties Of The...mentioning

confidence: 99%

Approximate solutions of generalized logistic equation

Onitsuka

2024

DCDS-B

Self Cite

View full text Add to dashboard Cite

This study investigates the behavior of the approximate solutions of the generalized logistic equation y ′ = y (1 − y α ), where α > 0. Based on the concept of Ulam stability, a concrete estimate of the amplitude of the difference between the approximate solution and the exact solution is obtained using the comparison principle and some sharp inequalities. The obtained results can be applied to the nonautonomous Richards model C ′ = r(t)C 1 − C α K .

show abstract