Results 71 to 80 of about 61,523 (203)

A linear functional differential equation with distributions in the input

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

Boundary Value Problems
This paper investigates several Corrected Euler–Maclaurin-type inequalities for different function classes using Riemann–Liouville fractional integrals.
Hasan Kara, Fatih Hezenci, Arslan Munir, Hüseyin Budak   +3 more
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On the derivatives of functions of bounded variation

, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

One-dimensional adhesion model for large scale structures

Electronic 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
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Grüss–Ostrowski inequalities and bounded variation

Journal 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
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Decay analysis of bivariate Chebyshev coefficients for functions with limited regularity

Results 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 bounded variation

, 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

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

Electronic 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
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Degree of approximation to function of bounded variation by Bézier variant of MKZ operators

, 2004
Vijay Gupta
semanticscholar   +1 more source

Symbolic computation of Appell polynomials using Maple

Electronic Journal of Differential Equations, 2001
This work focuses on the symbolic computation of Appell polynomials using the computer algebra system Maple. After describing the traditional approach of constructing Appell polynomials, the paper examines the operator method of constructing the same ...
H. Alkahby, G. Ansong, P. Frempong-Mireku, A. Jalbout   +3 more
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