Necessary and sufficient condition for the existence of positive solutions of a coupled system for elastic beam equations

DOI10.1016/j.jmaa.2009.04.001zbMath1182.34033OpenAlexW2028124544MaRDI QIDQ1025814

Yan Sun

Publication date: 23 June 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.04.001

zbMATH Keywords

conepositive solutiondecreasing operator

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (4)

Multiple nonnegative solutions of systems with coupled nonlinear boundary conditions ⋮ Multiple positive solutions of singular nonlinear Sturm-Liouville problems with Carathéodory perturbed term ⋮ Non-negative solutions of systems of ODEs with coupled boundary conditions ⋮ Necessary and sufficient condition for the existence of positive solutions of a coupled system for reaction-diffusion equations

Cites Work

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• Symmetry properties in systems of semilinear elliptic equations
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• Local superlinearity for elliptic systems involving parameters
• A priori estimates for a semilinear elliptic system without variational structure and their applications
• Semilinear reaction--diffusion systems of several components
• Non-existence results for semilinear cooperative elliptic systems via moving spheres
• A coupled system of boundary value problems
• Necessary and sufficient condition for the existence of positive solutions of certain cooperative system
• Multiplicity of positive radial solutions for multiparameter semilinear elliptic systems on an annulus

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