Results 71 to 80 of about 76,149 (301)
Existence and weak-strong uniqueness for damage systems in viscoelasticity [PDF]
In this paper we investigate the existence of solutions and their weak-strong uniqueness property for a PDE system modelling damage in viscoelastic materials. In fact, we address two solution concepts, emphweak and emphstrong solutions.
Rossi, Riccarda +2 more
core +3 more sources
Alexandria Engineering JournalThe primary objective of this research study is to analyze a boundary problem involving Caputo fractional integro-differential equations. The focus is on a differential equation with a nonlinear right-hand side composed of two terms.
Mehboob Alam +2 more
doaj +1 more source
New Existence and Uniqueness Results for Fractional Differential Equations
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 In this paper, we study a class of boundary value problems of nonlinear fractional differential equations with integral boundary conditions. Some new existence and uniqueness results are obtained by using Banach fixed point theorem.
Anber Ahmed, Belarbi Soumia
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Japan has one of the highest dialysis prevalence rates worldwide and a shrinking, aging population. Whether dialysis burden has entered a sustained post‐peak phase or whether recent declines partly reflect pandemic‐related disruptions remains uncertain.
Hatice Şahin +2 more
wiley +1 more source
ON EXISTENCE AND UNIQUENESS OF OPTIMAL CONTROLS
Demonstratio Mathematica, 1985 A quasilinear ordinary differential equation has coefficients which depend on a control function in a nonlinear manner. The trajectories are constrained at the beginning and the end of the control interval, and the performance criterion is quadratic in the state and the control; the admissible control functions are bounded above and below.
openaire +1 more source
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
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 +4 more
wiley +1 more source
Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
Existence and uniqueness theorems on certain difference-differential equations
Electronic Journal of Differential Equations, 2009 In the present paper, existence and uniqueness theorems for the solutions of certain nonlinear difference-differential equations are established. The main tools employed in the analysis are based on the applications of the Leray-Schauder alternative ...
Baburao G. Pachpatte
doaj
On the existence of uniquely partitionable graphs
Electronic Notes in Discrete Mathematics, 2002 Abstract Let P be a property of graphs. A vertex ( P , n)-partition of a graph G is a partition {V1, V2, …, Vn} of its vertex set V(G) into n classes such that each Vi induces a subgraph G[Vi] with property P . A graph G is said to be uniquely ( P , n)-partitionable, n ≥ 2, if G has exactly one (P, n)-partition.
openaire +2 more sources