Results 21 to 30 of about 94 (68)
ON THE WEAK SOLUTIONS OF THE URYSOHN-STIELTJES FUNCTIONAL INTEGRAL EQUATIONS
, 2018 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. Al-Fadel
semanticscholar +1 more source
Some properties of Urysohn‐Stieltjes integral operators
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 1, Page 79-88, 1998., 1996 We investigate some properties of Urysohn‐Stieltjes integral operators. The assumptions will be formulated under which the operators in question transform the space of coatinuous functions into itself or in the space of functions of bounded variation, are continuous or are compact.
Józef Banaś
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
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Differential inequalities for hysteresis systems
International Journal of Stochastic Analysis, Volume 9, Issue 4, Page 459-468, 1996., 1996 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
Advances in Nonlinear Analysis, 2019 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 the Discrete Nonlinear Hammerstein Systems With Non-symmetric Kernels
Sarajevo Journal of MathematicsWe study the nonlinear Hammerstein system $x(t)=\sum\limits_{s=1}^\infty {k(s,t)} f(s,x(s))+g(t)\quad (t\in\mathbb{N})$ with non-symmetric kernel $k(s,t)$. 2000 Mathematics Subject Classification.
F. Dedagić
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Order properties of the space of dominated Uryson operators
, 2015 The “Up-and-down” theorem which describe the structure of the Boolean algebra fragments of a positive orthogonally additive operator was recently proved in [14]. This result we apply to prove the decomposability of the lattice valued norm of the space DU
N. Abasov, M. Pliev
semanticscholar +1 more source
Advances in Nonlinear Analysis, 2019 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
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Some remarks about abstract Uryson operators
, 2015 We continue to investigation the space of abstract Uryson operators U(E,F ), acting between vector lattices E and F . We introduce a new class of orthogonally additive, disjointness preserving operators which called Uryson lattice homomorphisms.
N. Abasov, M. Pliev
semanticscholar +1 more source
Nonlinear Spectral Theories and Solvability of Nonlinear Hammerstein Equations [PDF]
, 2010 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
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