Results 101 to 110 of about 17,851 (143)

Existence and uniqueness of the solution for a general system of Fredholm integral equations

Mathematical methods in the applied sciences, 2020
The aim of this paper is to present existence and uniqueness results for the solution of a general system of Fredholm integral equations by applying the vectorial form of Maia's fixed‐point theorem.
A. Filip, A. Petruşel
semanticscholar   +1 more source

On the Characterization, Existence and Uniqueness of Steady Solutions to the Hydrostatic Euler Equations in a Nozzle

Archive for Rational Mechanics and Analysis, 2023
Incompressible Euler flows in narrow domains, in which the horizontal length scale is much larger than other scales, play an important role in many different applications, and their leading-order behavior can be described by the hydrostatic Euler ...
Wang Leung, T. Wong, Chunjing Xie
semanticscholar   +1 more source

McKean–Vlasov stochastic partial differential equations: existence, uniqueness and propagation of chaos

Probability theory and related fields, 2023
In this paper, we provide a general framework for investigating McKean–Vlasov stochastic partial differential equations. We first show the existence of weak solutions by combining the localizing approximation, Faedo-Galerkin technique, compactness method
Wei Hong, Shihu Li, Wei Liu
semanticscholar   +1 more source

The existence and uniqueness theorem for linear flexoelectricity and application to the Galerkin approximation

Mathematics and mechanics of solids, 2023
Flexoelectricity represents the electric polarization response to strain gradient and is governed by a boundary value problem (BVP) of fourth-order partial differential equations (PDEs).
Feng Deng, Wenshan Yu, Xu Liang, S. Shen
semanticscholar   +1 more source

Quasilinear Degenerate Evolution Systems Modelling Biofilm Growth: Well‐Posedness and Qualitative Properties

Mathematical methods in the applied sciences
We analyze nonlinear degenerate coupled partial differential equation (PDE)‐PDE and PDE‐ordinary differential equation (ODE) systems that arise, for example, in the modelling of biofilm growth.
K. Mitra, S. Sonner
semanticscholar   +1 more source

Existence, uniqueness and comparison theorem on unbounded solutions of general time-interval BSDEs with sub-quadratic generators

Probability, Uncertainty and Quantitative Risk
This paper is devoted to the existence, uniqueness and comparison theorem on unbounded solutions of one-dimensional backward stochastic differential equations (BSDEs) with sub-quadratic generators, where the terminal time is allowed to be finite or ...
Chuang Gu, Yan Wang, Shengjun Fan
semanticscholar   +1 more source

Operator Equations of the Second Kind: Theorems on the Existence and Uniqueness of the Solution and on the Preservation of Solvability

Differential equations, 2022
A. Chernov
semanticscholar   +1 more source

Long Time Behavior of Solution to Equal Mitosis PDE

International Journal of Theoretical and Applied Mathematics
In this work, we are interested in the long time behavior of a solution to equal mitosis partial differential equation with positive and periodic coefficients. First, we prove the existence and uniqueness of solution of Floquet eigenvalue and its adjoint
Meas Len
semanticscholar   +1 more source

Fixed Point Theorems Using Expansive Mappings in Partial Metric Spaces

International Journal of Applied Mathematics and Numerical Research
This paper presents new fixed-point theorems for expansive mappings in partial metric spaces, extending classical results from metric spaces to a more general framework. Partial metric spaces, introduced by Matthews, allow nonzero self-distances, thereby
Kavita Shrivastava, Sheeba Khan, Khushi Patel   +2 more
semanticscholar   +1 more source

Existence-uniqueness and fixed-point iterative method for general nonlinear fourth-order boundary value problems

Journal of Applied Mathematics and Computation, 2021
Shih-Hsiang Chang
semanticscholar   +2 more sources