On a semilinear volterra integrodifferential equation
Copyright policy )On a semilinear volterra integrodifferential equation
The Volterra integrodifferential equation $$\begin{array}{*{20}c} {u_t (t,x) + \smallint '_0 a(t - s)( - \Delta u(s,x) + f(x,u(s,x)))ds = h(t,x),,} \\ {t > 0,x \in \Omega \subset R^N ,} \\ \end{array} $$ together with boundary and initial conditions is considered. The existence of global solutions (in time) is established under weak assumptions onf. An application in heat flow is also indicated.
- Petre Andrei University of Iași Romania
Other nonlinear integral equations, Integro-ordinary differential equations, Heat and mass transfer, heat flow, existence, heat flow in materials with memory, semilinear Volterra integrodifferential equation, nonlinear perturbing term, boundary initial value problem
Other nonlinear integral equations, Integro-ordinary differential equations, Heat and mass transfer, heat flow, existence, heat flow in materials with memory, semilinear Volterra integrodifferential equation, nonlinear perturbing term, boundary initial value problem
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