Stability Conditions of Second Order Integrodifferential Equations with Variable Delay
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-07
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We investigate integrodifferential functional differential equations x ̈ + f ( t , x , x ̇ ) x ̇ + ∫ t - r ( t ) t a ( t , s ) g ( x ( s ) ) d s = 0 with variable delay.
By using the fixed point theory, we obtain conditions which ensure that the zero solution of this equation is stable under an exponentially weighted metric.
Then we establish necessary and sufficient conditions ensuring that the zero solution is asymptotically stable.
We will give an example to apply our results.
American Psychological Association (APA)
Pi, Dingheng. 2014. Stability Conditions of Second Order Integrodifferential Equations with Variable Delay. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013788
Modern Language Association (MLA)
Pi, Dingheng. Stability Conditions of Second Order Integrodifferential Equations with Variable Delay. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1013788
American Medical Association (AMA)
Pi, Dingheng. Stability Conditions of Second Order Integrodifferential Equations with Variable Delay. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013788
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013788