Variational and numerical aspects of a system of ODEs with concave-convex nonlinearities

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F25%3A43976324" target="_blank" >RIV/49777513:23520/25:43976324 - isvavai.cz</a>

Výsledek na webu

<a href="https://ejde.math.txstate.edu/Volumes/2025/92/agudelo.pdf" target="_blank" >https://ejde.math.txstate.edu/Volumes/2025/92/agudelo.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.58997/ejde.2025.92" target="_blank" >10.58997/ejde.2025.92</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Variational and numerical aspects of a system of ODEs with concave-convex nonlinearities

Popis výsledku v původním jazyce

We study a Hamiltonian system of ordinary differential equations under Dirichlet boundary conditions. The system features a mixed (concave-convex) power nonlinearity with a positive parameter. We show multiplicity of nonnegative solutions for a range of the parameter and discuss the regularity and symmetry of nonnegative solutions. Besides, we present a numerical strategy aiming at the exploration of the optimal range of for which multiplicity of positive solutions holds. The numerical experiments are based on the Poincare-Miranda Theorem and the shooting method, which have been lesser explored in the context of multiple positive solutions of systems of ODEs. Our work has been motivated by the results in Ambrosetti et al. in [4] and Moreira dos Santos in [18].

Název v anglickém jazyce

Variational and numerical aspects of a system of ODEs with concave-convex nonlinearities

Popis výsledku anglicky

We study a Hamiltonian system of ordinary differential equations under Dirichlet boundary conditions. The system features a mixed (concave-convex) power nonlinearity with a positive parameter. We show multiplicity of nonnegative solutions for a range of the parameter and discuss the regularity and symmetry of nonnegative solutions. Besides, we present a numerical strategy aiming at the exploration of the optimal range of for which multiplicity of positive solutions holds. The numerical experiments are based on the Poincare-Miranda Theorem and the shooting method, which have been lesser explored in the context of multiple positive solutions of systems of ODEs. Our work has been motivated by the results in Ambrosetti et al. in [4] and Moreira dos Santos in [18].

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA22-18261S" target="_blank" >GA22-18261S: Nelineární úlohy s nestandardní difuzí</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Electronic Journal of Differential Equations

ISSN

1072-6691

e-ISSN

1072-6691

Svazek periodika

2025

Číslo periodika v rámci svazku

92

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

19

Strana od-do

1-19

Kód UT WoS článku

001625447100001

EID výsledku v databázi Scopus

2-s2.0-105019039492