Results 91 to 100 of about 100,994 (269)

LATTICE OPERATIONS OF POSITIVE BILINEAR MAPPINGS

Taiwanese Journal of Mathematics, 2008
In this paper we establish extension theorems for additive mappings ? : A+ ×B+ ? C+, where A, B are Riesz spaces (lattice ordered spaces or vector lattices) and C is an order complete Riesz space, to the whole of A×B, therebyextendingwell-knownresults for additivemappingsbetween Riesz spaces.
openaire   +3 more sources

Remark on bilinear operations on tensor fields [PDF]

Archivum Mathematicum, 2020
Summary: This short note completes the results of [\textit{J. Janyška}, Arch. Math., Brno 55, No. 5, 289--308 (2019; Zbl 1513.58003)] by removing the locality assumption on the operators. After providing a quick survey on (infinitesimally) natural operations, we show that all the bilinear operators classified in [loc.
openaire   +1 more source

Analysis of a Mathematical Model of Marital Satisfaction

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A large number of marriages end in divorce. In this paper, we present a model for the emotional state of a couple based on bilinear ordinary differential equations. We study the effect of changes of each individual's self‐emotional state on the couple's state.
Benito Chen‐Charpentier, C. E. Garza‐Hume, M. C. Jorge   +2 more
wiley   +1 more source

Auxiliary field sigma models and Yang-Baxter deformations

Journal of High Energy Physics
We combine the Yang-Baxter (YB) and bi-Yang-Baxter (bi-YB) deformations with higher-spin auxiliary field deformations to construct multi-parameter families of integrable deformations of the principal chiral model on a Lie group G with semi-simple Lie ...
Daniele Bielli, Christian Ferko, Liam Smith, Gabriele Tartaglino-Mazzucchelli   +3 more
doaj   +1 more source

Selberg’s Inequality and Selberg Operator Bounds in Hilbert Spaces with Applications

Axioms
In the present work, we give a new proof of the well-known Selberg’s inequality in complex Hilbert spaces from an operator-theoretic perspective, establishing its fundamental equivalence with the Cauchy–Bunyakovsky–Schwarz inequality.
Salma Aljawi, Cristian Conde, Silvestru Sever Dragomir, Kais Feki   +3 more
doaj   +1 more source

Hints of unitarity at large N in the O(N )3 tensor field theory

Journal of High Energy Physics, 2020
We compute the OPE coefficients of the bosonic tensor model of [1] for three point functions with two fields and a bilinear with zero and non-zero spin.
Dario Benedetti, Razvan Gurau, Sabine Harribey, Kenta Suzuki   +3 more
doaj   +1 more source

On one class of holonomy groups in pseudo-Riemannian geometry [PDF]

, 2014
We describe a new class of holonomy groups on pseudo-Riemannian manifolds. Namely, we prove the following theorem. Let g be a nondegenerate bilinear form on a vector space V, and L:V -> V a g-symmetric operator.
Bolsinov, Alexey, Tsonev, Dragomir
core   +1 more source

Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
wiley   +1 more source

Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo, Delfina Gómez, Maria‐Eugenia Pérez‐Martínez   +2 more
wiley   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source