Banach Journal of Mathematical Analysis

Exponential analysis of solutions of functional differential equations with unbounded terms

Youssef N. Raffoul

Full-text: Open access

Abstract

Non-negative definite Lyapunov functionals are employed to obtain sufficient conditions that guarantee boundedness of solutions of system of functional differential equations with unbounded terms. The theory is illustrated with several examples regarding Volterra integro-differential equations.

Article information

Source
Banach J. Math. Anal., Volume 3, Number 2 (2009), 28-41.

Dates
First available in Project Euclid: 17 December 2009

Permanent link to this document
https://projecteuclid.org/euclid.bjma/1261086706

Digital Object Identifier
doi:10.15352/bjma/1261086706

Mathematical Reviews number (MathSciNet)
MR2503010

Zentralblatt MATH identifier
1198.34176

Subjects
Primary: 34C11: Growth, boundedness
Secondary: 34K20: Stability theory 34K15

Keywords
Nonlinear differential system boundedness uniform boundedness Lyapunov functionals Volterra integro-differential equations unbounded term

Citation

Raffoul, Youssef N. Exponential analysis of solutions of functional differential equations with unbounded terms. Banach J. Math. Anal. 3 (2009), no. 2, 28--41. doi:10.15352/bjma/1261086706. https://projecteuclid.org/euclid.bjma/1261086706


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