On the existence of periodic solutions to a fourth-order \(p\)-Laplacian differential equation with a deviating argument

DOI10.1016/J.NONRWA.2009.03.018zbMath1194.34132OpenAlexW2014447977MaRDI QIDQ974583

Longxia Qian, Zheng-Xin Wang, Shiping Lu

Publication date: 3 June 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.03.018

zbMATH Keywords

periodic solutionsdeviating argumentMawhin's continuation theorem

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13)

Related Items (3)

Second-order differential equation with indefinite and repulsive singularities ⋮ Positive solutions for \(p\)-Laplacian fourth-order differential system with integral boundary conditions ⋮ Nontrivial solutions of a fully fourth-order periodic boundary value problem

Cites Work

• On the existence of periodic solutions for \(p\)-Laplacian generalized Liénard equation
• Oscillating solutions of a nonlinear fourth order ordinary differential equation
• On the existence of periodic solutions to \(p\)-Laplacian Rayleigh differential equation with a delay
• Periodic solutions for \(p\)-Laplacian Rayleigh equations
• Periodic solutions for \(p\)-Laplacian Rayleigh equations with a deviating argument
• Periodic solutions for a fourth-order \(p\)-Laplacian differential equation with a deviating argument
• Coincidence degree, and nonlinear differential equations
• Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
• Periodic solutions for a kind of Rayleigh equation with a deviating argument.
• Periodic solutions for \(p\)-Laplacian Liénard equation with a deviating argument
• New results on the existence of periodic solutions to a \(p\)-Laplacian differential equation with a deviating argument
• On forced nonlinear oscillations in nth order differential systems with geometric conditions
• Maximum principles for fourth and sixth order periodic boundary value problems

This page was built for publication: On the existence of periodic solutions to a fourth-order \(p\)-Laplacian differential equation with a deviating argument