Results 101 to 110 of about 3,075 (226)
Functional differential equations of the cauchy-kowalevsky type
Aequationes Mathematicae, 1985 Hintergrund dieser Untersuchungen sind z.B. partielle Differentialgleichungssysteme \[ u_ t(t,z)=c(t,z,u(t-h_ 1,z)...)+\sum^{n}_{i=1}B_ i(t,z,u(t-h^ i_ 1,z\quad),...)u_{z_ i}(t-h'\!_ i,z) \] mit Verschiebungen in t. Anfangswerte werden daher nicht nur längs \(t=0\), \(z\in \Omega c{\mathbb{C}}^ n\), sondern in \(G_ 0:=[-r,0]\times \Omega\) (r\(\geq 0)\)
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Non‐vanishing of Poincaré series on average
Mathematika, Volume 72, Issue 2, April 2026.Abstract We study when Poincaré series for congruence subgroups do not vanish identically. We show that almost all Poincaré series with suitable parameters do not vanish when either the weight k$k$ or the index m$m$ varies in a dyadic interval. Crucially, analyzing the problem ‘on average’ over these weights or indices allows us to prove non‐vanishing ...
Ned Carmichael, Noam Kimmel
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Duality for Evolutionary Equations With Applications to Null Controllability
Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4144-4166, 30 March 2026.ABSTRACT We study evolutionary equations in exponentially weighted L2$$ {\mathrm{L}}^2 $$‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ν$$ \nu $$‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ν$$ \nu $$‐adjoint system. We then apply
Andreas Buchinger, Christian Seifert
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Evaluation of the Haemodynamic Behaviour of Stenosed Aortic Heart Valves Using Fluid Structure Interaction Modelling [PDF]
International journal for numerical methods in biomedical engineeringThe haemodynamic environment of generic calcific and rheumatic aortic valves of various severities is analysed through the use of 3D FSI modelling techniques. For the same severity and similar flow rates, the rheumatic valves offer higher resistance to the flow of blood compared to the calcific valves.
Kock L +5 more
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Cauchy's functional equation on semigroups [PDF]
Fundamenta Mathematicae, 1980 Paganoni, Luigi +1 more
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On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4214-4240, 30 March 2026.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
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Asymptotic Analysis of the Static Bidomain Model for Pulsed Field Cardiac Ablation
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2510-2531, 15 March 2026.ABSTRACT Cardiac arrhythmias are caused by faulty electrical signals in the heart, which lead to chaotic wave propagation and impaired cardiac function. This work focuses on a non‐thermal ablation technique based on electroporation (EP), a promising method for treating arrhythmias, called pulsed field ablation (PFA).
Annabelle Collin +2 more
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Hyperstability of Cauchy and Jensen functional equations in 2-normed spaces
Journal of Inequalities and ApplicationsIn this article, with simple and short proofs without applying fixed point theorems, some hyperstability results corresponding to the functional equations of Cauchy and Jensen are presented in 2-normed spaces.
Abbas Najati +3 more
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Tests of Exponential Stabilization Through Floquet Theory and Act‐And‐Wait Control
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 3303-3316, 15 March 2026.ABSTRACT In this paper, we propose tests of exponential stability based on a version of the Floquet theory for delay differential equations of the first order. Our approach allows researchers to preserve the order of equation and to use the classical methods of the Floquet theory for ordinary differential equations.
Alexander Domoshnitsky, Tsahi Shavit
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Compression‐Tension‐Asymmetry and Stiffness Nonlinearity of Collagen‐Matrigel Composite Hydrogels
Advanced Healthcare Materials, Volume 15, Issue 9, 6 March 2026.Self‐assembled collagen hydrogel matrices are widely used in tissue engineering applications. These matrices stiffen and contract laterally under tension due to fiber alignment and soften and collapse under compression due to fiber buckling. It is demonstrated that filler materials, such as Matrigel, linearize the mechanical behavior of collagen ...
David Böhringer +9 more
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