Results 71 to 80 of about 281 (199)
Banach algebras of ultrametric Lipschitzian functions
, 2018 We examine Banach algebras of bounded uniformly continuous functions and particularly Lipschitzian functions from an ultrametric space IE to a complete ultrametric field IK: prime and maximal ideals, multiplicative spectrum, Shilov boundary and topological divisors of zero. We get a new compactification of IE similar to the Banaschewski's one and which
Chicourrat, Monique, Escassut, Alain
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A regularized projection method for complementarity problems with non-Lipschitzian functions [PDF]
Mathematics of Computation, 2007 We consider complementarity problems involving functions which are not Lipschitz continuous at the origin. Such problems arise from the numerical solution for differential equations with non-Lipschitzian continuity, e.g. reaction and diffusion problems. We propose a regularized projection method to find an approximate solution with an estimation of the
Götz Alefeld, Xiaojun Chen 0001
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Uniform Asymptotic Stability of a PDE'S System Arising From a Flexible Robotics Model
Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11242-11251, 30 July 2025.ABSTRACT In this paper, we investigate the uniform asymptotic stability of a fourth‐order partial differential equation with a fading memory forcing term and boundary conditions arising from a flexible robotics model. To achieve this goal, the model is reformulated in an abstract framework using the C0$$ {C}_0 $$‐semigroup theory.
Tiziana Cardinali +2 more
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Global Solutions of Reaction–Diffusion Systems with a Balance Law and Nonlinearities of Exponential Growth [PDF]
, 2000 We consider the initial boundary value problem of the form ut−aΔu=−f(u, v), vt−cΔu−dΔv=+f(u, v), x∈Ω∈RN, N⩾1, t∈R+ where f(u, v)⩾0, f(0, v)=0, v∈R; f(u, v)⩽Kφ(u)eσv, K and σ are positive constants, φ(.) is any continuous, nonnegative, locally ...
Kanel, J.I., Kirane, M.
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MathematicsThe advancement of fractional calculus, particularly through the Caputo fractional derivative, has enabled more accurate modeling of processes with memory and hereditary effects, driving significant interest in this field.
Wali Haider +4 more
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Tropical analysis: With an application to indivisible goods
Theoretical Economics, Volume 20, Issue 3, Page 815-829, July 2025.We establish the subgradient theorem for monotone correspondences: a monotone correspondence is equal to the subdifferential of a potential if and only if it is conservative, i.e., its integral along a closed path vanishes irrespective of the selection from the correspondence along the path.
Nicholas C. Bedard, Jacob K. Goeree
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The Differentibility of Lipschitzian Function on Small Sets [PDF]
, 2003 摘要: 设f 为定义在可分Banach 空间的非空闭凸集C 的非支撑点集N ( C) 上的局部Lipschitz 函数. 本文证明了对任 何u ∈N ( C) ,均存在闭凸集D < C ,使得f 在D 上的限制函数fD 的每个Gateaux可微点均是f 相对于D 的Fréchet 可 微点,因而fD 相对于D 的Fréchet 可微点集是D 的一个稠密的Gδ 2 子集;同时指出了5fD 在点x ∈N ( D) 处单值且范 2 范上半连续不是fD 在点x 处相对于D Fréchet 可微的必要条件 ...
程立新, 滕岩梅
core
Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9046-9057, 30 May 2025.ABSTRACT This paper shows that long‐term stability and blowing‐up solutions for a nonlinear wave equation with a nonlocal damping of Choi and MacCamy type and a nonlocal dispersion can occur. The method of proof of general decay relies on a suitable Lyapunov functional.
Mokhtar Kirane +2 more
wiley +1 more source
Boundary Value ProblemsThis paper investigates several Corrected Euler–Maclaurin-type inequalities for different function classes using Riemann–Liouville fractional integrals.
Hasan Kara +3 more
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A Theory of Generalized Coordinates for Stochastic Differential Equations
Studies in Applied Mathematics, Volume 154, Issue 5, May 2025.ABSTRACT Stochastic differential equations are ubiquitous modeling tools in applied mathematics and the sciences. In most modeling scenarios, random fluctuations driving dynamics or motion have some nontrivial temporal correlation structure, which renders the SDE non‐Markovian; a phenomenon commonly known as ‘colored’’ noise.
Lancelot Da Costa +7 more
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