Green's function and positive solutions for higher-order ODE.

DOI10.1016/S0096-3003(02)00056-5zbMath1048.34060OpenAlexW1974392592MaRDI QIDQ1856040

Xiaojing Yang

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00056-5

zbMATH Keywords

Green's functionpositive solutions\((k,n-k)\) conjugate boundary value problem

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (13)

Positive solutions for semipositone \((k,n-k)\) conjugate boundary value problems with singularities on space variables ⋮ Nonlinear \(n\)-order \(m\)-point semipositive boundary value problems and applications ⋮ Three-order multipoint boundary value problems for \(p\)-Laplacian operator on time scales ⋮ Existence of positive solutions for second-order third-point semipositive BVP ⋮ Positive solutions to semipositone \((k,n - k)\) conjugate eigenvalue problems ⋮ Positive solutions of higher-order singular boundary value problems ⋮ On the existence of positive solutions for 2\(n\)-order singular boundary value problems ⋮ Lyapunov-type inequalities for third-order linear differential equations under the non-conjugate boundary conditions ⋮ Positive solutions for \((k,n - k)\) conjugate boundary value problems in Banach spaces ⋮ Lyapunov-type inequalities for fourth-order boundary value problems ⋮ Positive periodic solutions to a system of nonlinear differential equations with applications to Lotka-Volterra-type ecological models with discrete and distributed delays ⋮ Some applications of dominated convergence theorems to a higher-order singular boundary value problem ⋮ Iterative solutions of singular (\(k\),\(n-k\)) conjugate boundary value problems with dependence on the derivatives

Cites Work

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• Singular nonlinear \((k,n-k)\) conjugate boundary value problems
• Fixed point techniques in a cone with applications
• Positive solutions for \((p,n-p)\) conjugate boundary value problems
• Eigenvalues of Lidstone boundary value problems
• Positive solutions for (n − 1, 1) conjugate boundary value problems
• Positive solutions and eigenvalues of conjugate boundary value problems

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