$L^2 $ Solutions of Volterra Integral Equations
Copyright policy )$L^2 $ Solutions of Volterra Integral Equations
The existence of a unique $L^2 [0,T;H]$ solution of the equation $u(t) + \int_0^t {a(t - s)g(u(s))ds \ni f(t)} $ is shown for any $L^2 [0,T;H]$ function $f(t)$ where g is any maximal monotone operator satisfying a linear growth condition.
Other nonlinear integral equations, integral equations, Volterra integral equations, Abstract integral equations, integral equations in abstract spaces, maximal monotone operator, m- accretive operator, existence and uniqueness of solutions, Hilbert space setting, nonlinear Volterra equation, Monotone operators and generalizations, Nonlinear accretive operators, dissipative operators, etc.
Other nonlinear integral equations, integral equations, Volterra integral equations, Abstract integral equations, integral equations in abstract spaces, maximal monotone operator, m- accretive operator, existence and uniqueness of solutions, Hilbert space setting, nonlinear Volterra equation, Monotone operators and generalizations, Nonlinear accretive operators, dissipative operators, etc.
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