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Titlebook: Discrete and Continuous Models in the Theory of Networks; Fatihcan M. Atay,Pavel B. Kurasov,Delio Mugnolo Book 2020 Springer Nature Switze

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Postalische Befragungen („Mail-Surveys“)–called anti–Kirchhoff condition (.) at the vertices .. of the graph are investigated. The latter one consists in the following two requirements at each node. . where ....(.., .) denotes the outer normal derivative of .. at .. on the edge ... Though on any finite metric graph there is a simple nonli
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Forschungsdesigns mit Befragungen been studied in several former works (also in the more general setting of metric graphs) and the results that we present here are not new. Aim of this work is to formulate the problem in the setting of metric graphs and to exploit an approach based on a Kreı̆n formula for the resolvent of ... Such
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Survey-Methoden in der Hochschulforschunged nonlinearity. As a consequence, we focus on the tadpole graph, which, albeit being a toy model, allows to point out some specific features of the problem, whose understanding will be useful for future investigations. More precisely, we prove that there exists an interval of masses for which groun
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Methodenforschung in der Hochschulforschungger type is considered. We derive a complete small-time asymptotic expansion in (fractional) powers of the time, .. Most importantly, we do not invoke standard parametrix constructions for the heat kernel. Instead, we first derive the large-energy expansion of the regularized trace of the resolvent
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Coalitions in Multilateral Negotiationsrchhoff) vertex conditions in terms of the diameter and the total length of the graph. This extends a result of, and resolves an open problem from, [J. B. Kennedy, P. Kurasov, G. Malenová and D. Mugnolo, Ann. Henri Poincaré . (2016), 2439–2473, Section 7.2], and also complements an analogous lower b
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