A topological approach to periodic oscillations related to the Liebau phenomenon

DOI10.1016/j.jmaa.2014.10.054zbMath1309.34031arXiv1408.0130OpenAlexW2028928257MaRDI QIDQ472362

Milan Tvrdý, José Ángel Cid, Mirosława Zima, Gennaro Infante

Publication date: 19 November 2014

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

Full work available at URL: https://arxiv.org/abs/1408.0130

zbMATH Keywords

Green's functionperiodic boundary value problemvalveless pumpingKrasnosel'skii-Guo fixed point theorem

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items

Computation of fixed point index and applications to superlinear periodic problem, Lyapunov stability for regular equations and applications to the Liebau phenomenon, Periodic solutions of Liebau-type differential equations, Fixed points of Hammerstein-type equations on general cones, Existence and uniqueness of periodic solutions for a class of higher order differential equations, Existence and multiplicity of solutions of Stieltjes differential equations via topological methods, Positive solutions to a third order nonlocal boundary value problem with a parameter, An abstract averaging method with applications to differential equations, Existence and stability of periodic solution related to valveless pumping, New results for the Liebau phenomenon via fixed point index, Positive solutions of periodic boundary value problems for the second-order differential equation with a parameter, Nonnegative oscillations for a class of differential equations without uniqueness: a variational approach, Existence results for damped regular equations under periodic or Neumann boundary conditions

Uses Software

• Green

Cites Work

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