On a nonlinear functional second order integrodifferential equation in Banach Spaces
Copyright policy )On a nonlinear functional second order integrodifferential equation in Banach Spaces
In this paper, we study the existence, uniqueness and other properties of solutions of a nonlinear functional second order Volterra integrodifferential equation in a general Banach space. The techniques used in our analysis are the theory of the strongly continuous cosine family, Schauder fixed point theorem and Pachpatte’s integral inequality.
Integral operators, Schauder's fixed point theorem, Pachpatte's integral inequality, Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics, Volterra integral equations, integrodifferential equations, Abstract integral equations, integral equations in abstract spaces, cosine family, Nonlinear differential equations in abstract spaces
Integral operators, Schauder's fixed point theorem, Pachpatte's integral inequality, Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics, Volterra integral equations, integrodifferential equations, Abstract integral equations, integral equations in abstract spaces, cosine family, Nonlinear differential equations in abstract spaces
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