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Topological structure of solution sets of differential inclusions: the constrained case
Abstract and Applied Analysis, Volume 2003, Issue 6, Page 325-351, 2003., 2003 We survey and announce some current results on the existence, the viability, and the topological structure of the viable solutions of differential equations and inclusion in Banach spaces under set constraints. Some new results concerning semilinear differential inclusions with state variables constrained to the so‐called regular and strictly regular ...
Wojciech Kryszewski
wiley +1 more source
, 2017 We investigate the Nemytskij (composition, superposition) operators acting between Banach spaces of -times differentiable functions defined on the closed intervals of the real line with the -derivatives satisfying a generalized Hölder condition. The main
M. Lupa, Małgorzata Wróbel
semanticscholar +1 more source
Existence of extremal periodic solutions for quasilinear parabolic equations
Abstract and Applied Analysis, Volume 2, Issue 3-4, Page 257-270, 1997., 1997 In this paper we consider a quasilinear parabolic equation in a bounded domain under periodic Dirichlet boundary conditions. Our main goal is to prove the existence of extremal solutions among all solutions lying in a sector formed by appropriately defined upper and lower solutions.
Siegfried Carl
wiley +1 more source
Locally Defined Operators and Locally Lipschitz Composition Operators in the Space WBVp(·)([a, b])
, 2016 We give a neccesary and sufficient condition on a function such that the composition operator (Nemytskij Operator) H defined by acts in the space and satisfies a local Lipschitz condition.
J. A. Guerrero, O. Mejía, N. Merentes
semanticscholar +1 more source
, 2015 We show that the lateral regularizations of the generator of any uniformly bounded set-valued composition Nemytskij operator acting in the spaces of functions of bounded variation in the sense of Riesz, with nonempty bounded closed and convex values, are
W. Aziz, N. Merentes
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, 2010 We show that the lateral regularizations of the generator of any uniformly bounded set-valued composition Nemytskij operator acting in the spaces of functions of bounded variation in the sense of Riesz, with nonempty bounded closed and convex values, are
W. Aziz, J. A. Guerrero, N. Merentes
semanticscholar +1 more source
Weighted Differentiation Composition Operator from Logarithmic Bloch Spaces to Zygmund-Type Spaces
, 2014 Let denote the space of all holomorphic functions on the unit disk of , and let n be a positive integer, a holomorphic self-map of , and a weight. In this paper, we investigate the boundedness and compactness of a weighted differentiation composition ...
H. Qu, Yongmin Liu, Shulei Cheng
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On the Closed Range Weighted Composition–Differentiation Operator
Complex Analysis and Operator TheoryWe provide a number of conditions which characterize the closed range weighted composition–differentiation operator D(u,ψ,n)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage ...
Tesfa Mengestie
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Fredholm Weighted Composition Operator on Weighted Hardy Space
, 2013 This paper gives a unified characterization of Fredholm weighted composition operator on a class of weighted Hardy spaces.
Liankuo Zhao
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Convergence estimates for some composition operators
Constructive Mathematical AnalysisThere are different methods available in literature to construct a new operator. One of the methods to construct an operator is the composition method.
Vijay Gupta
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