Variational and numerical aspects of a system of ODEs with concave-convex nonlinearities
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Variational and numerical aspects of a system of ODEs with concave-convex nonlinearities
Original language description
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].
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA22-18261S" target="_blank" >GA22-18261S: Nonlinear problems with non-standard diffusion</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Electronic Journal of Differential Equations
ISSN
1072-6691
e-ISSN
1072-6691
Volume of the periodical
2025
Issue of the periodical within the volume
92
Country of publishing house
US - UNITED STATES
Number of pages
19
Pages from-to
1-19
UT code for WoS article
001625447100001
EID of the result in the Scopus database
2-s2.0-105019039492