Pseudo-almost periodic $C^{0}$-solution for evolution inclusion with mixed nonlocal plus local initial conditions
نویسندگان
چکیده
This paper is devoted to the study of a class evolution inclusion in Banach spaces with nonlocal plus local mixed initial conditions. Under some mild assumptions, unique solvability result multivalued problem obtained via arguments fixed point principle and theory $C^0$-semigroup.
منابع مشابه
Almost periodic solutions for nonlinear delay evolutions with nonlocal initial conditions
We consider the nonlinear delay differential evolution equation { u′(t) ∈ Au(t)+ f (t, ut ), t ∈ R+, u(t) = g(u)(t), t ∈ [−τ, 0], where τ ≥ 0, X is a real Banach space, A is the infinitesimal generator of a nonlinear semigroup of contractions whose Lipschitz seminorm decays exponentially as t → e−ωt when t → +∞ and f : R+×C([−τ, 0]; D(A)) → X is jointly continuous. We prove that if f Lipschitz ...
متن کاملExistence of Weighted Pseudo Almost Periodic Mild Solutions for Nonlocal Semilinear Evolution Equations
In this paper, we are concerned with new weighted pseudo almost periodic solutions of the semilinear evolution equations with nonlocal conditions x′(t) = A(t)x(t) + f(t, x(t)), x(0) = x0 + g(x), t ∈ R. By applying the Banach fixed point theorem, the theory of the measure theory, the theory of semigroups of operators to evolution families and the properties of a class of new weighted pseudo almo...
متن کاملOn a Nonlinear Integrodifferential Evolution Inclusion with Nonlocal Initial Conditions in Banach Spaces
In this paper, we discuss the existence results for a class of nonlinear integrodifferential evolution inclusions with nonlocal initial conditions in Banach spaces. Our results are based on a fixed point theorem for condensing maps due to Martelli and the resolvent operators combined with approximation techniques.
متن کاملPseudo almost periodic functions and pseudo almost periodic solutions to dynamic equations on time scales
* Correspondence: [email protected]. cn Department of Mathematics, Yunnan University Kunming, Yunnan 650091, People’s Republic of China Abstract In this paper, we first introduce a concept of the mean-value of uniformly almost periodic functions on time scales and give some of its basic properties. Then, we propose a concept of pseudo almost periodic functions on time scales and study some basic pr...
متن کاملAlmost-periodic Solution for Bam Neural Networks
In this paper, we study the existence and uniqueness solution and investigate the conditions that make it almost-periodic solution for BAM neural networks with retarded delays. The existence of solution established by using Schauder fixed point theorem. The uniqueness established by using Banach fixed point theorem. Moreover we study the parametric stability of such a solution. Also we illustra...
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: Hacettepe Journal of Mathematics and Statistics
سال: 2022
ISSN: ['1303-5010']
DOI: https://doi.org/10.15672/hujms.1143058