Existence of mild solutions for a class of non-autonomous evolution equations with nonlocal initial conditions
نویسندگان
چکیده
منابع مشابه
Existence of Solutions for Non-autonomous Functional Evolution Equations with Nonlocal Conditions
In this work, we study the existence of mild solutions and strict solutions of semilinear functional evolution equations with nonlocal conditions, where the linear part is non-autonomous and generates a linear evolution system. The fraction power theory and α-norm are used to discuss the problems so that the obtained results can be applied to the equations in which the nonlinear terms involve s...
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*Correspondence: [email protected] Department of Mathematics, Northwest Normal University, Lanzhou, 730070, People’s Republic of China Abstract This paper deals with the existence and uniqueness of mild solutions for a class of fractional evolution equations with nonlocal initial conditions. We present some local growth conditions on a nonlinear part and a nonlocal term to guarantee the existen...
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Article history: Received 13 March 2013 Available online 6 November 2013 Submitted by Steven G. Krantz
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and Applied Analysis 3 concrete situations. Indeed, we consider an example with a particular choice of the function b and the operator A is defined by Aw t, ξ a1 ξ ∂2 ∂ξ2 w t, ξ b1 ξ ∂ ∂ξ w t, ξ c ξ w t, ξ , 1.3 where the given coefficients a1, b1, c satisfy the usual uniform ellipticity conditions. 2. Preliminaries Most of the notations used throughout this paper are standard. So, N, Z, R, and...
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ژورنال
عنوان ژورنال: The Journal of Nonlinear Sciences and Applications
سال: 2017
ISSN: 2008-1898,2008-1901
DOI: 10.22436/jnsa.010.01.14