Results 41 to 50 of about 930 (85)
Local mirror symmetry and the sunset Feynman integral [PDF]
, 2016 We study the sunset Feynman integral defined as the scalar two-point self-energy at two-loop order in a two dimensional space-time. We firstly compute the Feynman integral, for arbitrary internal masses, in terms of the regulator of a class in the ...
Bloch, Spencer +2 more
core +2 more sources
Variations for Some Painlev\'e Equations [PDF]
, 2019 This paper first discusses irreducibility of a Painlev\'e equation $P$. We explain how the Painlev\'e property is helpful for the computation of special classical and algebraic solutions.
Acosta-Humánez, Primitivo B. +2 more
core +2 more sources
On the number of zeros of Melnikov functions [PDF]
, 2010 We provide an effective uniform upper bond for the number of zeros of the first non-vanishing Melnikov function of a polynomial perturbations of a planar polynomial Hamiltonian vector field.
Benditkis, Sergey, Novikov, Dmitry
core +3 more sources
A Feynman integral via higher normal functions [PDF]
, 2014 We study the Feynman integral for the three-banana graph defined as the scalar two-point self-energy at three-loop order. The Feynman integral is evaluated for all identical internal masses in two space-time dimensions. Two calculations are given for the
M. Kerr +5 more
core +3 more sources
Analysis of a Radiotherapy Model for Brain Tumors
Studies in Applied Mathematics, Volume 155, Issue 1, July 2025.ABSTRACT In this work, we focus on the analytical and numerical study of a mathematical model for brain tumors undergoing radiotherapy treatment. Under certain assumptions regarding the given data in the model, we prove the existence and uniqueness of a weak nonnegative (biologically relevant) solution.
Marina Chugunova +3 more
wiley +1 more source
Wind Energy, Volume 27, Issue 3, Page 225-257, March 2024.Abstract Predictive high‐fidelity modeling of wind turbines with computational fluid dynamics, wherein turbine geometry is resolved in an atmospheric boundary layer, is important to understanding complex flow accounting for design strategies and operational phenomena such as blade erosion, pitch‐control, stall/vortex‐induced vibrations, and aftermarket
Ashesh Sharma +13 more
wiley +1 more source
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this paper, we study a second‐order differential inclusion under boundary conditions governed by maximal monotone multivalued operators. These boundary conditions incorporate the classical Dirichlet, Neumann, and Sturm–Liouville problems. Our method of study combines the method of lower and upper solutions, the analysis of multivalued functions, and
Droh Arsène Béhi +3 more
wiley +1 more source
Fixed Point Theorems for Set-Valued Mappings on TVS-Cone Metric Spaces
, 2015 In the context of tvs-cone metric spaces, we prove a Bishop-Phelps and a Caristi's type theorem. These results allow us to prove a fixed point theorem for $(\delta, L)$-weak contraction according to a pseudo Hausdorff metric defined by means of a cone ...
Fierro, Raúl
core +1 more source
Novel Θ‐Fuzzy‐Contraction Mappings and Existence of Solution of Nonlinear Differential Equations
Journal of Mathematics, Volume 2024, Issue 1, 2024.This study pioneers the introduction of two novel concepts in the realm of double‐controlled metric spaces: the Θ‐fuzzy double‐controlled contraction mapping and the Θ‐fuzzy almost generalized double‐controlled contraction mapping. These concepts represent a significant expansion of the existing framework of generalized contractions.
Usman Shehzad +4 more
wiley +1 more source
Jacobian elliptic Kummer surfaces and special function identities
, 2016 We derive formulas for the construction of all inequivalent Jacobian elliptic fibrations on the Kummer surface of two non-isogeneous elliptic curves from extremal rational elliptic surfaces by rational base transformations and quadratic twists.
Griffin, Elise, Malmendier, Andreas
core +1 more source