Positive solutions of a system of second order boundary value problems involving first order derivatives via \(\mathbb R^n_+\)-monotone matrices

DOI10.1016/J.NA.2011.10.004zbMath1242.34041OpenAlexW2030259228MaRDI QIDQ412664

Zhilin Yang, Liang Kong

Publication date: 4 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.10.004

zbMATH Keywords

positive solutionfixed point indexa priori estimate\(\mathbb R^n_+\)-monotone matrixfirst order derivative

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Degree theory for nonlinear operators (47H11) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (7)

Positive solutions of a second-order nonlinear Robin problem involving the first-order derivative ⋮ Non-negative solutions of systems of ODEs with coupled boundary conditions ⋮ Positive solutions for a system of fourth-order \(p\)-Laplacian boundary value problems ⋮ Existence and multiplicity of positive solutions for a system of fourth-order boundary value problems ⋮ Existence of solutions of semilinear systems with gradient dependence via eigenvalue criteria ⋮ Semilinear elliptic systems with dependence on the gradient ⋮ Positive solutions for an \(n\)th-order quasilinear boundary value problem

Cites Work

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