Results 51 to 60 of about 139,571 (138)
On noncontractible compacta with trivial homology and homotopy groups
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
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„Polynomial spline collocation method for nonlinear two‐dimensional weakly singular integral equations" Mathematical Modelling Analysis, 2(1), p.
Arvet Pedas
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The dynamics of 1D Bloch electrons in constant electric fields
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
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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
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Error bounds for compound quadrature of weakly singular integrals [PDF]
Prediction of slow convergence rates for weakly singular numerical ...
Feldstein, A., Miller, R. K.
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Smoothness of solutions of Volterra integral equations with weakly singular kernels [PDF]
Solution smoothness of Volterra integral equations with weakly singular ...
Feldstein, A., Miller, R. K.
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Second-order maximum principle controlled weakly singular Volterra integral equations [PDF]
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
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Collocation Solutions of a Weakly Singular Volterra Integral Equation
The discrete superconvergence properties of spline collocation solutions for a certain Volterra integral equation with weakly singular kernel are analyzed.
T. Diogo, P. Lima
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Gronwall-Bellman Type Inequalities and Their Applications to Fractional Differential Equations
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
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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
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