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Bipotentials for non monotone multivalued operators: fundamental results and applications [PDF]
This is a survey of recent results about bipotentials representing multivalued operators. The notion of bipotential is based on an extension of Fenchel's inequality, with several interesting applications related to non associated constitutive laws in non
Buliga, Marius +2 more
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Iterative oscillation tests for difference equations with several non-monotone arguments [PDF]
Sufficient oscillation conditions involving $\limsup $ and $\liminf $ for first-order differential equations with several non-monotone deviating arguments and nonnegative coefficients are obtained. The results are based on the iterative application of the Gr nwall inequality. Examples illustrating the significance of the results are also given.
Braverman, Elena +2 more
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The Boltzmann–Volterra linear constitutive equation for isotropic non-aging viscoelastic materials is studied analytically in order to elucidate its abilities to provide a qualitative simulation of rheological effects related to different behavior types ...
Andrew Vladimirovich Khokhlov
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Strain rate sensitivity of stress-strain curves family generated by the Boltzmann–Volterra linear viscoelasticity constitutive equation (with an arbitrary relaxation modulus) under uni-axial loadings at constant strain rates is studied analytically as ...
Andrew Vladimirovich Khokhlov
doaj +1 more source
Differential equations with several non-monotone arguments: An oscillation result
First-order linear differential equations with multiple non-monotone delay arguments are studied. A new oscillation criterion is derived using the monotonicity analysis. An example is given to illustrate the result.
Chatzarakis, G. E., Péics, H.
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Oscillations of nonlinear differential equations with several deviating arguments
This article concerns the oscillatory behavior of first-order non-linear differential equations with several variable deviating arguments and non-negative coefficients.
George Chatzarakis, Julio Dix
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The Boltzmann-Volterra linear constitutive equation for isotropic non-aging visco-elastic materials is studied analytically in order to examine its capabilities to provide an adequate qualitative description of rheological phenomena related to creep ...
Andrew Vladimirovich Khokhlov
doaj +1 more source
Learning pseudo-Boolean k-DNF and Submodular Functions [PDF]
We prove that any submodular function f: {0,1}^n -> {0,1,...,k} can be represented as a pseudo-Boolean 2k-DNF formula. Pseudo-Boolean DNFs are a natural generalization of DNF representation for functions with integer range.
Raskhodnikova, Sofya +1 more
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Optimal Online Selection of a Monotone Subsequence: a Central Limit Theorem [PDF]
Consider a sequence of $n$ independent random variables with a common continuous distribution $F$, and consider the task of choosing an increasing subsequence where the observations are revealed sequentially and where an observation must be accepted or ...
Arlotto, Alessandro +2 more
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Explanations of Non-monotonic Inference in Admissibility-Based Abstract Argumentation
In this paper, we introduce a formal framework for explaining change of inference in abstract argumentation, in particular in the context of iteratively drawing inferences from a sequence of normal expansions, with a focus on admissible set-based semantics.
Kampik, Timotheus, Čyras, Kristijonas
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