Results 71 to 80 of about 1,320,516 (202)
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
On Existence of Solutions to the Caputo Type Fractional Order Three-Point Boundary Value Problems
International Journal of Analysis and Applications, 2016 In this paper, we establish the existence of solutions to the fractional order three-point boundary value problems by utilizing Banach contraction principle and Schaefer's fixed point theorem.
B.M.B. Krushna, K.R. Prasad
doaj +2 more sources
Characterization of ∑-Semicompleteness via Caristi’s Fixed Point Theorem in Semimetric Spaces
Journal of Function Spaces, 2018 Introducing the concept of ∑-semicompleteness in semimetric spaces, we extend Caristi’s fixed point theorem to ∑-semicomplete semimetric spaces. Via this extension, we characterize ∑-semicompleteness.
Tomonari Suzuki
doaj +1 more source
International Journal for Numerical Methods in Fluids, Volume 98, Issue 8, Page 980-999, August 2026.This work aims to develop a generalised and efficient semi‐analytical method that combines the Laplace decomposition method with Pade approximation (LDMPA) to solve multidimensional nonlinear integro‐partial differential equation. For a one‐dimension case, explicit (closed‐form) solutions for the number density functions are derived for the first time.
Somveer Keshav +4 more
wiley +1 more source
Reformulation of Fixed Point Existence: From Banach to Kannan and Chatterjea Contractions
AxiomsThis paper presents a reformulation of classical existence and uniqueness results for second-order boundary value problems (BVPs) using the Kannan fixed point theorem, extending beyond the Banach contraction principle.
Zouaoui Bekri +3 more
doaj +1 more source
Discrete Dynamics in Nature and Society, 2016 We consider the existence of nonoscillatory solutions of higher-order neutral differential equations with distributed coefficients. We use the Banach contraction principle to obtain new sufficient condition for the existence of nonoscillatory solutions.
Youjun Liu, Huanhuan Zhao, Jurang Yan
doaj +1 more source
Periodic boundary value problems for nonlinear impulsive fractional differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2011 In this paper, we investigate the existence and uniqueness of solution of the periodic boundary value problem for nonlinear impulsive fractional differential equation involving Riemann-Liouville fractional derivative by using Banach contraction principle.
Xiaojing Wang, Chuanzhi Bai
doaj +1 more source
International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 12, Page 4879-4892, 25 August 2026.ABSTRACT This work presents a general framework for deriving the Young–Laplace equation and the Young's equations for an axisymmetric capillary bridge between two parallel plates by minimizing the system's total energy. These Young's equations naturally emerge as boundary conditions associated with the Young–Laplace equation.
Olivier Millet +3 more
wiley +1 more source
Banach Contraction Principle in Cone Modular Spaces with Banach Algebra
, 2019 There are some mappings, which are not contraction mappings in the usual senses, such that they holdsome contractive type conditions in the settings of some new abstract metric and modular spaces. Inthis paper, taking into account this fact, we introduce
Özavşar, Muttalip, Çay, Hatice
core