Results 21 to 30 of about 230 (67)
ON THE WEAK SOLUTIONS OF THE URYSOHN-STIELTJES FUNCTIONAL INTEGRAL EQUATIONS
The analysis of Urysohn-Stieltjes integral operators has been studied in [1]. Here we study the existence of weakly solution of functional integral equations of Urysohn-Stieltjes type and Hammerstien-Stieltjes type in the reflexive Banach space E.
A. El-Sayed, M. M. Al-Fadel
semanticscholar +1 more source
Differential inequalities for hysteresis systems
The theory of differential inequalities is extended to functional‐differential equations with hysteresis nonlinearities. A key feature is the existence of a semiorder of the state space of nonlinearity and a special monotonicity of the righthand side of differential inequality. This article is dedicated to the memory of Roland L. Dobrushin.
Vladimir V. Chernorutskii +1 more
wiley +1 more source
Some inequalities and superposition operator in the space of regulated functions
Some inequalities connected to measures of noncompactness in the space of regulated function R(J, E) were proved in the paper. The inequalities are analogous of well known estimations for Hausdorff measure and the space of continuous functions.
Olszowy Leszek, Zając Tomasz
doaj +1 more source
On some properties of the superposition operator on topological manifolds [PDF]
In this paper the superposition operator in the space of vector-valued, bounded and continuous functions on a topological manifold is considered. The acting conditions and criteria of continuity and compactness are established.
Janusz Dronka
core +1 more source
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
We will consider the so-called superposition operator in the space CC(ℝ+) of real functions defined, continuous on the real half-axis ℝ+ and converging to finite limits at infinity.
Rzepka Beata, Ścibisz Justyna
doaj +1 more source
On the composition of functions in multidimensional Besov spaces
For the composition operator Tf : g → f ◦ g we find a class of functions f : R → R for which there exists a family of positive constants c( f ,t) , t > 0 , such that the estimate ‖Tf (g)‖Bsp,q(Rn) c( f ,t)‖g‖Bsp,q (Rn) holds, for all g ∈W 1 ∞ ∩Bp,q(R ...
M. Moussai
semanticscholar +1 more source
Nonzero radial solutions for a class of elliptic systems with nonlocal BCs on annular domains [PDF]
We provide new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for systems of Hammerstein integral equations.
Infante, Gennaro, Pietramala, Paolamaria
core +1 more source
An Innovative Approach to the Product of k-Hybrid Functional Integral Equation
MSC2020 Classification: 46E30, 45G10, 47H30, 47N20, and ...
A. M. A. El-Sayed, Sh. M. Al-Issa
doaj +1 more source
Nonlinear Spectral Theories and Solvability of Nonlinear Hammerstein Equations [PDF]
AMS Subj. Classification: 47J10, 47H30, 47H10We study some possibilities of nonlinear spectral theories for solving nonlinear operator equations. The main aim is to research a spectrum and establish some kind of nonlinear Fredholm alternative for ...
Halilović, Sanela
core

