Exponential analysis of solutions of functional differential equations with unbounded terms
Youssef N. Raffoul
Source: Banach J. Math. Anal. Volume 3, Number 2
(2009), 28-41.
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.
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Keywords: Nonlinear differential system; boundedness; uniform boundedness; Lyapunov functionals; Volterra integro-differential equations; unbounded term
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Banach Journal of Mathematical Analysis
