Qualitative properties in nonlinear Volterra integro-differential equations with delay

Publication date: Available online 4 March 2016 Source:Journal of Taibah University for Science Author(s): Cemil Tunç This paper considers a class of scalar and vector non-linear Volterra integro-differential equations of first order with constant delay. We show stability, uniformly stability, boundedness, convergence and square integrability of solutions. The technique of proof involves defining appropriate Lyapunov functionals. Our results improve the results obtained in literature.

Source: Journal of Taibah University for Science - March 4, 2016 Category: Science Source Type: research