A monotone method for constructing extremal solutions of second order scalar boundary value problems

DOI10.1016/0096-3003(86)90018-4zbMath0625.65075OpenAlexW1989150168MaRDI QIDQ579866

Pierpaolo Omari

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0096-3003(86)90018-4

zbMATH Keywords

lower and upper solutionsextremal solutionmonotone iterative method

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (9)

Linearized domain decomposition approaches for nonlinear boundary value problems ⋮ A numerical approach to nonlinear two-point boundary value problems for ODEs ⋮ Replacing the finite difference methods for nonlinear two-point boundary value problems by successive application of the linear shooting method ⋮ Monotone method for the Neumann problem with lower and upper solutions in the reverse order ⋮ Periodic and boundary value problems for second order differential equations ⋮ A monotone method for constructing extremal solutions to second-order periodic boundary value problems ⋮ A different monotone iterative technique for a class of nonlinear three-point BVPs ⋮ Extremal solutions of second order nonlinear periodic boundary value problems ⋮ A constructive monotone iterative method for second-order BVP in the presence of lower and upper solutions

Cites Work

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• Fredholm alternatives for nonlinear differential equations
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• Existence of periodic solutions of semilinear parabolic equations and the method of upper and lower solutions
• Periodic solutions of a differential delay equation of Rayleigh type
• A monotone method for quasilinear boundary value problems
• Minimal and maximal solutions of nonlinear boundary value problems
• Monotone method for second order periodic boundary value problems
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Une généralisation du premier théorème de Fredholm et ses applications à la théorie des équations différentielles ordinaires

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