On eventual stability of impulsive systems of differential equations.
Soliman, A. A. (2001)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Lipschitz functions with unexpectedly large sets of nondifferentiability points.”
On eventual stability of impulsive systems of differential equations.
Efficient counting and asymptotics of -noncrossing tangled diagrams.
Chen, William Y.C., Qin, Jing, Reidys, Christian M., Zeilberger, Doron (2009)
The Electronic Journal of Combinatorics [electronic only]
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Some alternating sums of Lucas numbers
Zvonko Čerin (2005)
Open Mathematics
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We consider alternating sums of squares of odd and even terms of the Lucas sequence and alternating sums of their products. These alternating sums have nice representations as products of appropriate Fibonacci and Lucas numbers.
Rate independent Kurzweil processes
Pavel Krejčí, Matthias Liero (2009)
Applications of Mathematics
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The Kurzweil integral technique is applied to a class of rate independent processes with convex energy and discontinuous inputs. We prove existence, uniqueness, and continuous data dependence of solutions in spaces. It is shown that in the context of elastoplasticity, the Kurzweil solutions coincide with natural limits of viscous regularizations when the viscosity coefficient tends to zero. The discontinuities produce an additional positive dissipation term, which is not homogeneous...
Convergence of a Lagrange-Galerkin method for a fluid-rigid body system in ALE formulation
Guillaume Legendre, Takéo Takahashi (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
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We propose a numerical scheme to compute the motion of a two-dimensional rigid body in a viscous fluid. Our method combines the method of characteristics with a finite element approximation to solve an ALE formulation of the problem. We derive error estimates implying the convergence of the scheme.
On the existence of bounded solutions of nonlinear elliptic systems.
Ahammou, Abdelaziz (2002)
International Journal of Mathematics and Mathematical Sciences
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Convergence conditions for Secant-type methods
Ioannis K. Argyros, Said Hilout (2010)
Czechoslovak Mathematical Journal
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We provide new sufficient convergence conditions for the convergence of the secant-type methods to a locally unique solution of a nonlinear equation in a Banach space. Our new idea uses recurrent functions, and Lipschitz-type and center-Lipschitz-type instead of just Lipschitz-type conditions on the divided difference of the operator involved. It turns out that this way our error bounds are more precise than earlier ones and under our convergence hypotheses we can cover cases where earlier...