Results 31 to 40 of about 2,481 (254)
Asymptotic behavior of solutions to a class of coupled nonlinear parabolic systems
Boundary Value Problems, 2019 This paper studies the Cauchy problem to a class of coupled nonlinear parabolic systems and investigates the asymptotic behavior of solutions to the problem.
Yan Leng, Yuanyuan Nie, Qian Zhou
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Variations on the Brouwer Fixed Point Theorem: A Survey
Mathematics, 2020 This paper surveys some recent simple proofs of various fixed point and existence theorems for continuous mappings in R n
Jean Mawhin
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Coupled system of a fractional order differential equations with weighted initial conditions
Open Mathematics, 2019 Here, a coupled system of nonlinear weighted Cauchy-type problem of a diffre-integral equations of fractional order will be considered. We study the existence of at least one integrable solution of this system by using Schauder fixed point Theorem.
El-Sayed Ahmed M. A. +1 more
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Advanced Materials Technologies, EarlyView.The study considers the use of polymer/dielectric‐based multilayers piezoelectric Energy Harvesters (EH) to produce an output voltage and current, by exploiting the mechanical energy provided by human organs movements. In particular, the heart motion is considered from the kinematic viewpoint, and a multiphysics theoretical model is developed to assess
Hamdi Ezzin +5 more
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The Gauge Integral Theory in HOL4
Journal of Applied Mathematics, 2013 The integral is one of the most important foundations for modeling dynamical systems. The gauge integral is a generalization of the Riemann integral and the Lebesgue integral and applies to a much wider class of functions. In this paper, we formalize the
Zhiping Shi +6 more
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On the uniqueness of kernel determination in the integro-differential equation of parabolic type
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 We study the problem of determining the kernel of the integral term in the one-dimensional integro-differential equation of heat conduction from the known solution of the Cauchy problem for this equation.
Durdimurod K Durdiev
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Some mean value theorems as consequences of the Darboux property [PDF]
Mathematica Bohemica, 2017 The aim of the paper is to present some mean value theorems obtained as consequences of the intermediate value property. First, we will prove that any nonextremum value of a Darboux function can be represented as an arithmetic, geometric or harmonic mean
Dan Ştefan Marinescu, Mihai Monea
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Cauchy's Flux Theorem in Light of Geometric Integration Theory [PDF]
Journal of Elasticity, 2003 This work presents a formulation of Cauchy's flux theory of continuum mechanics in the framework of geometric integration theory as formulated by H. Whitney and extended recently by J. Harrison. Starting with convex polygons, one constructs a formal vector space of polyhedral chains.
Rodnay, G., Segev, R.
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Cauchy Integral Theorem and its Applications
Journal of Physics: Conference Series, 2022 Abstract Italian mathematicians Girolamo Cardano and Raphael Bombelli made the initial dis covery of complex numbers somewhere in the 16th century while attempting to solve a algebra icquestion. The relevance of complex analysis in mathematics, physics, and engineering is incre asing now after hundreds of years of growth, particularly in
Jun Du, Sicen Lu, Tianyi Yang
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A historical review of the Cauchy-Riemann equations and the Cauchy Theorem [PDF]
, 2023 In this article we take a historical tour through the Cauchy-Riemann equations and their relationship with Cauchy's theorem on the independence with respect to the path of the integral of a holomorphic function. Because of its importance we do a detailed
Reventós, Agustí, Cufí, Julià
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