Structure of solutions of unstable linear Volterra integrodifferential equations
نویسندگان
چکیده
منابع مشابه
Weak Solutions for a Class of Parabolic Volterra Integrodifferential Equations
u’(t)+Au(t)= ‘a(t,s)g(s,u(s))ds+f(t,U(t)), I 120, 0 u(0) = 0. The operator A is the negative infinitesimal generator of an analytic semigroup in a Banach space X. The operator g(t, u) is related to A by a special form g(t, a) = A”*q(t, u), where q(t, u) is an appropriate “lower order” operator. We show the existence and uniqueness of weak solutions and their continuability to infinity under sui...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1974
ISSN: 0022-0396
DOI: 10.1016/0022-0396(74)90090-4