A semilinear parabolic Volterra integrodifferential equation
نویسندگان
چکیده
منابع مشابه
Semilinear Volterra Integrodifferential Equations with Nonlocal Initial Conditions
where h ∈ L1(0,T ;X) and f : [0,T ]×X →X. This is obtained if one takes F(u)(t)= h(t)−∫ t 0 a(t−s)f (s,u(s))ds in (1.1). Such problems are important from the viewpoint of applications since they cover nonlocal generalizations of integrodifferential equations arising in the mathematical modeling of heat conduction in materials with memory. Byszewski [6, 7] initiated the work concerning abstract ...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1988
ISSN: 0022-0396
DOI: 10.1016/0022-0396(88)90023-x