Integrodifferential equations with analytic semigroups
نویسندگان
چکیده
منابع مشابه
Integrodifferential Equations with Analytic Semigroups
In this paper we study a class of integrodifferential equations considered in an arbitrary Banach space. Using the theory of analytic semigroups we establish the existence, uniqueness, regularity and continuation of solutions to these integrodifferential equations.
متن کاملIntegrodifferential Equations with Non-autonomous Operators
The result of Da Prato and Sinestrari [3] concerning the non-autonomous evolution operators of hyperbolic type for the equation u′(t) = A(t)u(t) + f(t), t ∈ [0, T ], w(0) = w0, is applied to the study of u′(t) = A(t) [ u(t)+ ∫ t −∞ G(t, s)u(s)ds ] +K(t)u(t)+f(t), t ∈ [0, T ], u(s) = φ(s), s ≤ 0, which models linear viscoelasticity. Here A(·) satisfies all the requirements of Kato’s semigroup ap...
متن کاملOn Analytic Integrated Semigroups
The known definition of an analytic n-times integrated semigroup is reconsidered and one superfluous condition is removed. It is proved that every densely defined generator of an exponentially bounded, analytic n-times integrated semigroup of angle α with the appropriate growth rate at zero is also the generator of an analytic C0-semigroup of the same angle. AMS Mathematics Subject Classificati...
متن کاملImpulsive integrodifferential Equations and Measure of noncompactness
This paper is concerned with the existence of mild solutions for impulsive integro-differential equations with nonlocal conditions. We apply the technique measure of noncompactness in the space of piecewise continuous functions and by using Darbo-Sadovskii's fixed point theorem, we prove reasults about impulsive integro-differential equations for convex-power condensing operators.
متن کاملQuantitative Homogenization of Analytic Semigroups and Reaction–diffusion Equations with Diophantine Spatial Frequencies
Based on an analytic semigroup setting, we first consider semilinear reaction–diffusion equations with spatially quasiperiodic coefficients in the nonlinearity, rapidly varying on spatial scale ε. Under periodic boundary conditions, we derive quantitative homogenization estimates of order ε on strong Sobolev spaces H in the triangle 0 < γ < min(σ − n/2, 2− σ). Here n denotes spatial dimension. ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Stochastic Analysis
سال: 2003
ISSN: 1048-9533,1687-2177
DOI: 10.1155/s1048953303000133