A generalization of the monotone iterative technique for nonlinear second order periodic boundary value problems

DOI10.1016/0022-247X(90)90249-FzbMath0719.34039WikidataQ60199490 ScholiaQ60199490MaRDI QIDQ2640015

Alberto Cabada, Juan. J. Nieto

Publication date: 1990

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

zbMATH Keywords

periodic solutionsmonotone iterative methodnonlinear second order periodic boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (22)

The monotone method for first-order problems with linear and nonlinear boundary conditions ⋮ On the second order mixed quasimonotone periodic boundary value systems in ordered Banach spaces ⋮ Odd periodic solutions of fully second-order ordinary differential equations with superlinear nonlinearities ⋮ Positive periodic solutions for a second-order functional differential equation ⋮ Iterative techniques with computer realization for initial value problems for Riemann-Liouville fractional differential equations ⋮ Generalized upper and lower solution method for the forced Duffing equation ⋮ Triple positive periodic solutions of nonlinear singular second-order boundary value problems ⋮ Unnamed Item ⋮ Monotone iterative technique for the initial value problem for differential equations with non-instantaneous impulses ⋮ Periodic solutions of discontinuous impulsive differential systems ⋮ Positive periodic solutions for second-order ordinary differential equations with derivative terms and singularity in nonlinearities ⋮ Existence of periodic solutions of higher-order differential equations ⋮ Periodic positive solution to a class of singular second-order ordinary differential equations ⋮ Second-order periodic boundary value problems on time scales ⋮ Positive solution of a singular nonlinear third-order periodic boundary value problem ⋮ A monotone method for constructing extremal solutions to second-order periodic boundary value problems ⋮ Iterative techniques with computer realization for the initial value problem for Caputo fractional differential equations ⋮ Periodic boundary value problems of second-order impulsive differential equations ⋮ Extremal solutions of second order nonlinear periodic boundary value problems ⋮ Existence and uniqueness results for discrete second-order periodic boundary value problems ⋮ Iterative techniques for the initial value problem for Caputo fractional differential equations with non-instantaneous impulses ⋮ Oscillatory periodic solutions of nonlinear second order ordinary differential equations

Cites Work

• Unnamed Item
• Applications of monotone techniques to differential equations with discontinuous right hand side
• Nonlinear second-order periodic boundary value problems
• Infinite-dimensional dynamical systems in mechanics and physics
• Theory of functional differential equations. 2nd ed
• Periodic solutions of second order nonlinear differential equations
• Remarks on first and second order periodic boundary value problems
• Periodic boundary value problems of first and second order differential equations

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