On the Asymptotic Behavior of Finite Energy Solutions of an Abstract Integral Equation
Copyright policy )On the Asymptotic Behavior of Finite Energy Solutions of an Abstract Integral Equation
We define an energy function for a solution of the abstract nonlinear integral equation \[x'(t) + \partial \varphi (x(t)) + \int_0^t {a(t - s)\partial \psi (x(s))ds \ni f(t)} \quad (t \in R^ + ),\] and study the asymptotic behavior of the solutions for which the energy function is bounded. We also investigate the problem of getting an a priori bound on the energy function.
Other nonlinear integral equations, Volterra integral equations, a Priori Bound on the Energy Function, Asymptotic Properties, Banach Space, Abstract integral equations, integral equations in abstract spaces, Hilbert Space, Asymptotics of solutions to integral equations, Finite Energy Solutions, Asymptotic Behaviour, Abstract Integral Equation, Monotone operators and generalizations
Other nonlinear integral equations, Volterra integral equations, a Priori Bound on the Energy Function, Asymptotic Properties, Banach Space, Abstract integral equations, integral equations in abstract spaces, Hilbert Space, Asymptotics of solutions to integral equations, Finite Energy Solutions, Asymptotic Behaviour, Abstract Integral Equation, Monotone operators and generalizations
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!