In this research, we utilize a Lyapunov function and obtain sufficient conditions for the asymptotically stability and boundedness of solutions to the Volterra integro-differential equations of the form d d t [ x ( t ) 0 t D ( t , s ) x ( s ) d s ] = A ( t ) x ( t ) + 0 t C ( t , s ) x ( s ) d s + e ( t , x ) . The obtained results revise, correct and improve the results obtained in literature.


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    Title :

    On qualitative properties in Volterra integro-differential equations


    Contributors:

    Conference:

    ICNPAA 2016 WORLD CONGRESS: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences ; 2016 ; La Rochelle, France


    Published in:

    Publication date :

    2017-01-27


    Size :

    9 pages





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



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