Results 51 to 60 of about 139,571 (138)

On noncontractible compacta with trivial homology and homotopy groups

open access: yes, 2009
We construct an example of a Peano continuum $X$ such that: (i) $X$ is a one-point compactification of a polyhedron; (ii) $X$ is weakly homotopy equivalent to a point (i.e. $\pi_n(X)$ is trivial for all $n \geq 0$); (iii) $X$ is noncontractible; and (iv)
Karimov, Umed H., Repovš, Dušan
core   +1 more source

Polynomial spline collocation method for nonlinear two‐dimensional weakly singular integral equations

open access: yesMathematical Modelling and Analysis, 1997
„Polynomial spline collocation method for nonlinear two‐dimensional weakly singular integral equations" Mathematical Modelling Analysis, 2(1), p.
Arvet Pedas
doaj   +1 more source

The dynamics of 1D Bloch electrons in constant electric fields

open access: yes, 2004
We study the dynamics of a 1D Bloch electron subjected to a constant electric field. The periodic potential is supposed to be less singular than the $\delta $-like potential (Dirac comb). We give a rigorous proof of Ao's result \cite{Ao} that for a large
Bentosela, F.   +3 more
core   +1 more source

Some Weakly Singular Integral Inequalities and Their Applications to Tempered Fractional Differential Equations

open access: yesJournal of Mathematics, 2022
In this paper, we establish several new weakly singular integral inequalities that generalize several previously known ones. Several applications for fractional differential equations in the Caputo context have been derived using tempered fractional ...
Abdellatif Ben Makhlouf   +3 more
doaj   +1 more source

Error bounds for compound quadrature of weakly singular integrals [PDF]

open access: yes
Prediction of slow convergence rates for weakly singular numerical ...
Feldstein, A., Miller, R. K.
core   +1 more source

Smoothness of solutions of Volterra integral equations with weakly singular kernels [PDF]

open access: yes
Solution smoothness of Volterra integral equations with weakly singular ...
Feldstein, A., Miller, R. K.
core   +1 more source

Second-order maximum principle controlled weakly singular Volterra integral equations [PDF]

open access: yesArchives of Control Sciences
This work studies a class of singular Volterra integral equations that are (controlled) and can be applied to memory-related problems. For optimum controls, we prove a second-order Pontryagin type maximal principle.
Jasarat J. Gasimov, Nazim I. Mahmudov
doaj   +1 more source

Collocation Solutions of a Weakly Singular Volterra Integral Equation

open access: yesTrends in Computational and Applied Mathematics, 2007
The discrete superconvergence properties of spline collocation solutions for a certain Volterra integral equation with weakly singular kernel are analyzed.
T. Diogo, P. Lima
doaj   +1 more source

Gronwall-Bellman Type Inequalities and Their Applications to Fractional Differential Equations

open access: yesAbstract and Applied Analysis, 2013
Some new weakly singular integral inequalities of Gronwall-Bellman type are established, which can be used in the qualitative analysis of the solutions to certain fractional differential equations.
Jing Shao, Fanwei Meng
doaj   +1 more source

Henry-Gronwall Integral Inequalities with “Maxima” and Their Applications to Fractional Differential Equations

open access: yesAbstract and Applied Analysis, 2014
Some new weakly singular Henry-Gronwall type integral inequalities with “maxima” are established in this paper. Applications to Caputo fractional differential equations with “maxima” are also presented.
Phollakrit Thiramanus   +2 more
doaj   +1 more source

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