Results 61 to 70 of about 486,669 (177)

Advanced Stability Analysis of Regularized Newton Methods for Monotone Inclusions With Bounded Variation

open access: yesJournal of Applied Mathematics
This paper presents a comprehensive stability analysis of regularized Newton methods for solving monotone inclusion problems of the form 0∈Ax+Fx, where A is a maximal monotone operator and F is a Lipschitz continuous operator with bounded variation.
Boushra Abbas
doaj   +1 more source

One-dimensional adhesion model for large scale structures

open access: yesElectronic Journal of Differential Equations, 2010
We discuss initial value problems and initial boundary value problems for some systems of partial differential equations appearing in the modelling for the large scale structure formation in the universe.
Kayyunnapara Thomas Joseph
doaj  

New approaches to corrected Euler–Maclaurin-type inequalities involving Riemann–Liouville fractional integrals for different function classes

open access: yesBoundary Value Problems
This paper investigates several Corrected Euler–Maclaurin-type inequalities for different function classes using Riemann–Liouville fractional integrals.
Hasan Kara   +3 more
doaj   +1 more source

Composing functions of bounded variation [PDF]

open access: yesProceedings of the American Mathematical Society, 1981
openaire   +1 more source

A linear functional differential equation with distributions in the input

open access: yesElectronic Journal of Differential Equations, 2003
This paper studies the functional differential equation $$ dot x(t) = int_a^t {d_s R(t,s), x(s)} + F'(t), quad t in [a,b], $$ where $F'$ is a generalized derivative, and $R(t,cdot)$ and $F$ are functions of bounded variation. A solution is defined by the
Vadim Z. Tsalyuk
doaj  

Grüss–Ostrowski inequalities and bounded variation

open access: yesJournal of Inequalities and Applications
In this note, we establish corresponding Grüss–Ostrowski-type inequalities for functions with bounded variation. As an application, we provide some estimates for the error in numerical integration rules and estimation for the cumulative distribution ...
Karol Gryszka
doaj   +1 more source

Functions of bounded variation

open access: yes, 2006
The paper begins with a short survey of monotone functions. The functions of bounded variation are introduced and some basic properties of these functions are given. Finally the jump function of a function of bounded variation is defined.
openaire   +1 more source

Decay analysis of bivariate Chebyshev coefficients for functions with limited regularity

open access: yesResults in Applied Mathematics
The Chebyshev polynomial approximation is a useful tool to approximate smooth and non-smooth functions. In fact, for a sufficiently smooth function, the partial sum of Chebyshev series expansion provides optimal polynomial approximation.
Akansha
doaj   +1 more source

Functions of Generalized Bounded Variation

open access: yes, 2013
This thesis is devoted to the study of different generalizations of the classical conception of a function of bounded variation. First, we study the functions of bounded p-variation introduced by Wiener in 1924. We obtain estimates of the total p-variation (1<p<∞) and other related functionals for a periodic function f in Lp([0,1]) in terms of ...
openaire   +2 more sources

Boundary blow-up solutions to semilinear elliptic equations with nonlinear gradient terms

open access: yesElectronic Journal of Differential Equations, 2014
In this article we study the blow-up rate of solutions near the boundary for the semilinear elliptic problem $$\displaylines{ \Delta u\pm |\nabla u|^q=b(x)f(u), \quad x\in\Omega,\cr u(x)=\infty, \quad x\in\partial\Omega, }$$ where $\Omega$ is a ...
Shufang Liu, Yonglin Xu
doaj  

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