The monotone iterative technique and periodic boundary value problem for first-order impulsive functional-differential equations

DOI10.1007/S101140200155zbMath1023.34073OpenAlexW1990925932MaRDI QIDQ1862876

Weigao Ge, Zhi Min He

Publication date: 2 November 2003

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s101140200155

zbMATH Keywords

upper and lower solutionsmonotone iterative techniquefunctional-differential equations with impulses

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Functional-differential equations with impulses (34K45) Periodic solutions to functional-differential equations (34K13) Linear boundary value problems for ordinary differential equations (34B05) Boundary value problems for functional-differential equations (34K10)

Related Items (3)

Existence of positive solutions to fourth order quasilinear boundary value problems ⋮ Construction of fixed point operators for nonlinear difference equations of non integer order with impulses ⋮ Periodic boundary value problems for first-order impulsive difference equations with time delay

Cites Work

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• Application of the monotone-iterative techniques of V. Lakshmikantham for solving the initial value problem for impulsive differential-difference equations
• Periodic boundary value problem for differential equations with delay and monotone iterative method
• Monotone-iterative techniques of V. Lakshmikantham for a boundary value problem for systems of impulsive differential-difference equations
• Periodic boundary value problems for a class of functional differential equations
• Iterative methods for solutions of impulsive functional differential systems

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