Functional random evolution equations in Frechet spaces
نویسندگان
چکیده
منابع مشابه
Random fractional functional differential equations
In this paper, we prove the existence and uniqueness results to the random fractional functional differential equations under assumptions more general than the Lipschitz type condition. Moreover, the distance between exact solution and appropriate solution, and the existence extremal solution of the problem is also considered.
متن کاملSemigroups on Frechet spaces and equations with infinite delays
where a∈ R,{bi}i=1 is an arbitrary sequence of real numbers, {τi} ∞ i=1 is a strictly increasing sequence of strictly positive reals such that limi→∞τi = ∞ and φ : (−∞,0] −→ R is continuous. For the special case {bi}i=1 ∈ l 1, (1.1) can be uniquely solved for any given φ ∈ BC (−∞,0], the space of all bounded real-valued continuous functions. The proof of this is indicated in Example1.2. Denote ...
متن کاملExistence of solutions of infinite systems of integral equations in the Frechet spaces
In this paper we apply the technique of measures of noncompactness to the theory of infinite system of integral equations in the Fr´echet spaces. Our aim is to provide a few generalization of Tychonoff fixed point theorem and prove the existence of solutions for infinite systems of nonlinear integral equations with help of the technique of measures of noncompactness and a generalization of Tych...
متن کاملCubic-quartic functional equations in fuzzy normed spaces
In this paper, we investigate the generalizedHyers--Ulam stability of the functional equation
متن کاملSystem of AQC functional equations in non-Archimedean normed spaces
In 1897, Hensel introduced a normed space which does not have the Archimedean property. During the last three decades theory of non--Archimedean spaces has gained the interest of physicists for their research in particular in problems coming from quantum physics, p--adic strings and superstrings. In this paper, we prove the generalized Hyers--Ulam--Rassias stability for a ...
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: Advances in the Theory of Nonlinear Analysis and its Application
سال: 2018
ISSN: 2587-2648
DOI: 10.31197/atnaa.451341