Monotone methods for periodic solutions of second order scalar functional differential equations

DOI10.1007/BF01400915zbMath0536.65065OpenAlexW1995557491MaRDI QIDQ792071

Alfredo Bellen

Publication date: 1983

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132858

zbMATH Keywords

numerical examplesiterative methoda posteriori error analysisfunctional differential equationsmonotone sequencelower and upper periodic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Boundary value problems for functional-differential equations (34K10)

Related Items (12)

Monotone methods for higher-order partial difference equations ⋮ Linearized domain decomposition approaches for nonlinear boundary value problems ⋮ Convergence Analysis of Collocation Methods for Computing Periodic Solutions of Retarded Functional Differential Equations ⋮ A numerical approach to nonlinear two-point boundary value problems for ODEs ⋮ A monotone method for fourth order value problems involving a factorizable linear operator ⋮ Replacing the finite difference methods for nonlinear two-point boundary value problems by successive application of the linear shooting method ⋮ A monotone method for constructing extremal solutions of second order scalar boundary value problems ⋮ An abstract framework in the numerical solution of boundary value problems for neutral functional differential equations ⋮ Existence and localization of solution for second order elliptic BVP in presence of lower and upper solutions without any order ⋮ Solvability of three point boundary value problems for second order differential equations with deviating arguments ⋮ A constructive monotone iterative method for second-order BVP in the presence of lower and upper solutions ⋮ A third-order finite difference method on a quasi-variable mesh for nonlinear two point boundary value problems with Robin boundary conditions

Cites Work

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• An existence theorem for periodic solutions of nonlinear ordinary differential equations
• On solutions of disconjugate differential equations
• Boundary value problems for nonlinear second-order vector differential equations
• Periodic solutions of nonlinear second order differential equations
• On the existence of periodic solutions for second order vector differential equations
• Periodic boundary value problems for systems of second order differential equations
• Remarks on a paper of L. Cesari on functional analysis and nonlinear differential equations
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Multiple Stable Solutions of Nonlinear Boundary Value Problems Arising in Chemical Reactor Theory

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