Results 91 to 100 of about 2,094 (218)

Analysis of a Viscoplastic Burgers Equation

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT We study a Burgers equation featuring an additional stress term that is governed by a positively 1$\hskip.001pt 1$‐homogeneous potential. This problem is motivated by the so‐called Hibler's sea ice model, which treats sea ice as a non‐Newtonian fluid, where the stress tensor includes such a term in order to account for the plastic response of ...
Marita Thomas, Xin Liu, Edriss Titi
wiley   +1 more source

Conformable functional evolution equations with nonlocal conditions in Banach spaces [PDF]

Surveys in Mathematics and its Applications, 2023
In this paper, we study semilinear conformable fractional evolution equations with finite delay subjected to nonlocal initial conditions in an arbitrary Banach space.
Abderrahmane Boukenkoul , Mohamed Ziane
doaj  

Nonlinear perturbations and abstract evolution equations in general banach spaces [PDF]

Annali di Matematica Pura ed Applicata, 1976
Part I deals with the problem of determining sufficient conditions under which the sum of two m-accretive operators on a closed convex set Q1 is m-accretive on Q1. Part II is concerned with the initial value problem: u′+Au+g(u)=v, u(0)=u0. Applications are given to the Boltzmann equation.
openaire   +1 more source

Stable factorization of the Calderón problem via the Born approximation

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract In this article, we prove the existence of the Born approximation in the context of the radial Calderón problem for Schrödinger operators. The Born approximation naturally appears as the linear component of a factorization of the Calderón problem; we show that the nonlinear part, obtaining the potential from the Born approximation, enjoys ...
Thierry Daudé, Fabricio Macià, Cristóbal Meroño, François Nicoleau   +3 more
wiley   +1 more source

Analysis of Implicit Neutral-Tempered Caputo Fractional Volterra–Fredholm Integro-Differential Equations Involving Retarded and Advanced Arguments

Mathematics
This paper investigates a class of implicit neutral fractional integro-differential equations of Volterra–Fredholm type. The equations incorporate a tempered fractional derivative in the Caputo sense, along with both retarded (delay) and advanced ...
Abdulrahman A. Sharif, Muath Awadalla
doaj   +1 more source

On a nonlinear Volterra integral equation in a Banach space

Journal of Mathematical Analysis and Applications, 1978
AbstractThe equation u(t) + ∝0tk(t − s)g(s) ds ϵ f(t), t ⩾ 0, is studied in a real Banach space with uniformly convex dual. Conditions, sufficient for the existence of a unique solution, are given for the operatorvalued kernel k, the nonlinear m-accretive operators g(t) and the function f.
openaire   +2 more sources

Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks

Mathematical Methods in the Applied Sciences, Volume 49, Issue 8, Page 8095-8117, 30 May 2026.
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley   +1 more source

On Solutions of the Nonlocal Generalized Coupled Langevin-Type Pantograph Systems

Journal of Mathematics
This paper concentrates on the analysis of a category of coupled Langevin-type pantograph differential equations involving the generalized Caputo fractional derivative with nonlocal conditions.
Houari Bouzid, Abdelkader Benali, Abdelkrim Salim, Reny George, Sina Etemad   +4 more
doaj   +1 more source

Newton-Kantorovich and Smale Uniform Type Convergence Theorem for a Deformed Newton Method in Banach Spaces

Abstract and Applied Analysis, 2013
Newton-Kantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the third-order convergence is established in a Banach space for solving nonlinear equations.
Rongfei Lin, Yueqing Zhao, Zdeněk Šmarda, Yasir Khan, Qingbiao Wu   +4 more
doaj   +1 more source

Local Convergence of Jarratt-Type Methods with Less Computation of Inversion Under Weak Conditions

Mathematical Modelling and Analysis, 2017
We present a local convergence analysis for Jarratt-type methods in order to approximate a solution of a nonlinear equation in a Banach space setting. Earlier studies cannot be used to solve equations using such methods.
Ioannis K. Argyros, Santhosh George
doaj   +1 more source