Zobrazeno 1 - 10
of 135
pro vyhledávání: '"65G40"'
This paper introduces a novel computer-assisted method for detecting and constructively proving the existence of cusp bifurcations in differential equations. The approach begins with a two-parameter continuation along which a tool based on the theory
Externí odkaz:
http://arxiv.org/abs/2404.00535
In this paper, we introduce a general constructive method to compute solutions of initial value problems of semilinear parabolic partial differential equations via semigroup theory and computer-assisted proofs. Once a numerical candidate for the solu
Externí odkaz:
http://arxiv.org/abs/2402.00406
Autor:
Font, Juan Jose, Macario, Sergio
In this paper we present a Stone-Weierstrass type result in the context of continuous interval-valued functions defined on a compact Hausdorff space. Namely, we provide a constructive proof of the approximation.
Externí odkaz:
http://arxiv.org/abs/2401.13008
Autor:
Çelik, Türkü Özlüm, Lehavi, David
We derive a formula for reconstructing a generic complex canonical curve $C$ of genus 6 and 7 in terms of the theta hyperplanes of $C$. Hence, we get a generic inverse to the Torelli map, as well as a complete description of the Schottky locus in the
Externí odkaz:
http://arxiv.org/abs/2401.02235
Autor:
Kumar, Shubham, Deepmala
This paper investigates the conditions that guarantee unique solvability and unsolvability for the generalized absolute value equations (GAVE) given by $Ax - B \vert x \vert = b$. Further, these conditions are also valid to determine the unique solut
Externí odkaz:
http://arxiv.org/abs/2308.10536
Autor:
Cheng, Jin-San, Wen, Junyi
Using the local geometrical properties of a given zero-dimensional square multivariate nonlinear system inside a box, we provide a simple but effective and new criterion for the uniqueness and the existence of a real simple zero of the system inside
Externí odkaz:
http://arxiv.org/abs/2211.05266
Autor:
Tretiak, Krasymyr, Ferson, Scott
Publikováno v:
International Journal of Approximate Reasoning, 2023
Data quality is an important consideration in many engineering applications and projects. Data collection procedures do not always involve careful utilization of the most precise instruments and strictest protocols. As a consequence, data are invaria
Externí odkaz:
http://arxiv.org/abs/2210.13863
Autor:
Hladík, Milan
The absolute value equations (AVE) problem is an algebraic problem of solving Ax+|x|=b. So far, most of the research focused on methods for solving AVEs, but we address the problem itself by analysing properties of AVE and the corresponding solution
Externí odkaz:
http://arxiv.org/abs/2209.06457
To make progress towards better computability of Morse-Floer homology, and thus enhance the applicability of Floer theory, it is essential to have tools to determine the relative index of equilibria. Since even the existence of nontrivial stationary
Externí odkaz:
http://arxiv.org/abs/2206.09205
Autor:
Shary, Sergey P.
The paper discusses the question of why intervals, which are the main object of Interval Analysis, have exactly the form that we know well and habitually use, and not some other. In particular, we investigate why traditional intervals are closed, i.\
Externí odkaz:
http://arxiv.org/abs/2202.03058