Results 31 to 40 of about 3,984 (166)
On the behavior of Kneser solutions of nonlinear ordinary differential equations [PDF]
We obtain priory estimates and sufficient conditions for Kneser solutions of ordinary differential equations to vanish in a neighborhood of ...
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New Aspects for Non-Existence of Kneser Solutions of Neutral Differential Equations with Odd-Order [PDF]
Some new oscillatory and asymptotic properties of solutions of neutral differential equations with odd-order are established. Through the new results, we give sufficient conditions for the oscillation of all solutions of the studied equations, and this is an improvement of the relevant results. The efficiency of the obtained criteria is illustrated via
Osama Moaaz, Dumitru Baleanu, Ali Muhib
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Remark on properties of Kneser solutions for third-order neutral differential equations
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Baculíková, B., Džurina, J.
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Signed Projective Cubes, a Homomorphism Point of View
ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen +2 more
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Invertible harmonic mappings, beyond Kneser
We prove necessary and sufficient criteria of invertibility for planar harmonic mappings which generalize a classical result of H. Kneser, also known as the Rad\'{o}-Kneser-Choquet theorem.Comment: One section added.
Alessandrini, Giovanni, Nesi, Vincenzo
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Intersecting families of discrete structures are typically trivial [PDF]
The study of intersecting structures is central to extremal combinatorics. A family of permutations $\mathcal{F} \subset S_n$ is \emph{$t$-intersecting} if any two permutations in $\mathcal{F}$ agree on some $t$ indices, and is \emph{trivial} if all ...
Balogh, József +4 more
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On the Euler characteristic of S$S$‐arithmetic groups
Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
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ELICA: An Automated Tool for Dynamic Extraction of Requirements Relevant Information
Requirements elicitation requires extensive knowledge and deep understanding of the problem domain where the final system will be situated. However, in many software development projects, analysts are required to elicit the requirements from an ...
Abad, Zahra Shakeri Hossein +3 more
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This study aims to investigate the oscillatory behavior of the solutions of an even-order delay differential equation with distributed deviating arguments. We first study the monotonic properties of positive decreasing solutions or the so-called Kneser solutions.
Shaimaa Elsaeed +3 more
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Stability of reverse isoperimetric inequalities in the plane: Area, Cheeger, and inradius
Abstract In this paper, we present stability results for various reverse isoperimetric problems in R2$\mathbb {R}^2$. Specifically, we prove the stability of the reverse isoperimetric inequality for λ$\lambda$‐convex bodies — convex bodies with the property that each of their boundary points p$p$ supports a ball of radius 1/λ$1/\lambda$ so that the ...
Kostiantyn Drach, Kateryna Tatarko
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