Results 51 to 60 of about 55,115 (257)

Existence and Uniqueness of a Fixed Point for the Bellman Operator in Deterministic Dynamic Programming [PDF]

We study existence and uniqueness of a fixed point for the Bellman operator in deterministic dynamic programming. We show that removing many of the assumptions of the theorem on the Bellman operator recently shown by Martins-da-Rocha and Vailakis ...
Takashi Kamihigashi
core   +2 more sources

Semipositone elliptic equations in unbounded domains in R n $\mathbb{R}^{n}$

Boundary Value Problems
We investigate a class of semipositone nonlinear elliptic boundary value problems in unbounded domains D of R n $\mathbb{R}^{n}$ , n ≥ 3 $n\geq 3$ . Under some mild-assumptions, we obtain the existence of a unique positive continuous solution and provide
Imed Bachar
doaj   +1 more source

Non-linear biphasic mixture model: Existence and uniqueness results

European Journal of Applied Mathematics
This paper is concerned with the development and analysis of a mathematical model that is motivated by interstitial hydrodynamics and tissue deformation mechanics (poro-elasto-hydrodynamics) within an in-vitro solid tumour.
Meraj Alam, Adrian Muntean, Raja Sekhar G P   +2 more
doaj   +1 more source

Ulam–Hyers Stability and Uniqueness for Nonlinear Sequential Fractional Differential Equations Involving Integral Boundary Conditions

Fractal and Fractional, 2021
Fractional-order boundary value problems are used to model certain phenomena in chemistry, physics, biology, and engineering. However, some of these models do not meet the existence and uniqueness required in the mainstream of mathematical processes ...
Areen Al-khateeb, Hamzeh Zureigat, Osama Ala’yed, Sameer Bawaneh   +3 more
doaj   +1 more source

Existence and uniqueness of solutions to singular ODE’s

Archiv der Mathematik, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gorka, Przemyslaw, Rybka, Piotr
openaire   +4 more sources

Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system

FEBS Letters, EarlyView.
Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley   +1 more source

Uniqueness implies existence for (n,p) boundary value problems

, 2010
The uniqueness of solutions of certain boundary value problems implies their existence for the nth order nonlinear ordinary differential equation y(n)=f(x,y,y',y'',....,y(n-1)) This existence is established by using shooting methods and yields results ...
錢傳仁; Chyan, Chuan-jen; Henderson, J.
core   +1 more source

The human gut microbiome across the life course

FEBS Letters, EarlyView.
Despite significant individual variation and continuous change throughout life, the human gut microbiome follows some life stage‐specific trends. This article provides a brief overview of how gut microbiome composition shifts across different phases of life. Created in BioRender. Özkurt, E. (2026) https://BioRender.com/8q4nrnc.
Alise J. Ponsero, Basak Bahcivanci, Antonietta Hayhoe, Animesh Acharjee, Ezgi Özkurt   +4 more
wiley   +1 more source

Existence Results for a Class of Fractional Differential Equations with Periodic Boundary Value Conditions and with Delay

Abstract and Applied Analysis, 2013
We discuss the existence and uniqueness of solution for two types of fractional order ordinary and delay differential equations. Fixed point theorems are the main tool used here to establish the existence and uniqueness results.
Hadi Karami, Azizollah Babakhani, Dumitru Baleanu   +2 more
doaj   +1 more source

On Cauchy Problems of Caputo Fractional Differential Inclusion with an Application to Fractional Non-Smooth Systems

Mathematics, 2023
In this innovative study, we investigate the properties of existence and uniqueness of solutions to initial value problem of Caputo fractional differential inclusion.
Jimin Yu, Zeming Zhao, Yabin Shao
doaj   +1 more source