Results 11 to 20 of about 2,769,215 (334)
Large solutions of semilinear elliptic equations with a Hardy potential [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2021 Semilinear elliptic problems with solutions blowing up at the boundary are considered. The effect of a Hardy potential with a boundary singularity is discussed. Positive potentials reinforce the solution to blow up whereas negative prevent it.
Catherine Bandle
doaj
A new fixed-time stability criterion for fractional-order systems
AIMS Mathematics, 2022 In this work, we study the fixed-time stability of fractional-order systems. By virtue of the properties of Riemann-Liouville fractional derivative and the comparison principle, we derive a new fixed-time stability theorem for fractional-order systems ...
Yucai Ding, Hui Liu
doaj +1 more source
On a comparison principle and the uniqueness of spectral flow
Mathematische Nachrichten, 2022 AbstractThe spectral flow is a well‐known quantity in spectral theory that measures the variation of spectra about 0 along paths of selfadjoint Fredholm operators. The aim of this work is twofold. Firstly, we consider homotopy invariance properties of the spectral flow and establish a simple formula which comprises its classical homotopy invariance and
Starostka, Maciej, Waterstraat, Nils
openaire +3 more sources
Propagation dynamics in an SIRS model with general incidence functions
Mathematical Biosciences and Engineering, 2023 This paper studies the initial value problems and traveling wave solutions in an SIRS model with general incidence functions. Linearizing the infected equation at the disease free steady state, we can define a threshold if the corresponding basic ...
Wenhao Chen , Guo Lin, Shuxia Pan
doaj +1 more source
PDE comparison principles for Robin problems [PDF]
Canadian Journal of Mathematics, 2021 AbstractWe compare the solutions of two Poisson problems in a spherical shell with Robin boundary conditions, one with given data, and one where the data have been cap symmetrized. When the Robin parameters are nonnegative, we show that the solution to the symmetrized problem has larger convex means. Sending one of the Robin parameters to $+\infty $ ,
openaire +4 more sources
Blow-up and global existence for the inhomogeneous porous medium equation with reaction [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2021 We study finite time blow-up and global existence of solutions to the Cauchy problem for the porous medium equation with a variable density ρ(x) and a power-like reaction term. We firstly consider the case that ρ(x) decays at infinity like the critical
Giulia Meglioli, Fabio Punzo
doaj
Improvements on overdetermined problems associated to the p-Laplacian
Mathematics in Engineering, 2022 This work presents some improvements on related papers that investigate certain overdetermined problems associated to elliptic quasilinear operators. Our model operator is the p-Laplacian.
Antonio Greco , Francesco Pisanu
doaj +1 more source
Model Comparison and the Principle of Parsimony [PDF]
, 2015 According to the principle of parsimony, model selection methods should value both descriptive accuracy and simplicity. Here we focus primarily on Bayes factors and minimum description length, explaining how these procedures strike a balance between goodness-of-fit and parsimony.
Vandekerckhove, J. +2 more
openaire +3 more sources
On strong comparison principle for semicontinuous viscosity solutions of some nonlinear elliptic equations [PDF]
, 2005 The strong comparison principle for semicontinuous viscosity solutions of some nonlinear elliptic equations are considered. For linear elliptic equations it is well known that the strong comparison principle is equivalent to the strong maximum ...
Giga, Yoshikazu, Ohnuma, Masaki
core +1 more source
IEEE Access, 2021 This work focuses on exponential synchronization for a class of partially coupled heterogeneous networks with time-delays and heterogeneous impulses. The synchronization targets are selected as the common equilibrium solution and the average trajectory ...
Guizhen Feng +3 more
doaj +1 more source