Existence results for a nonlinear semipositone telegraph system with repulsive weak singular forces

DOI10.1155/2011/610812zbMath1235.35020OpenAlexW2127169422WikidataQ58693296 ScholiaQ58693296MaRDI QIDQ410480

Yukun An, Fanglei Wang, Yunhai Wang

Publication date: 3 April 2012

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/610812

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Fixed-point theorems (47H10) Positive solutions to PDEs (35B09)

Cites Work

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• Doubly periodic solutions of a coupled nonlinear telegraph system with weak singularities
• Maximum principles for bounded solutions of the telegraph equation in space dimensions two and three and applications
• Weak singularities may help periodic solutions to exist
• Maximum principles and the method of upper and lower solutions for time-periodic problems of the telegraph equations
• Periodic solutions of the nonlinear telegraph equations with bounded nonlinearities
• Existence and multiplicity results of positive doubly periodic solutions for nonlinear telegraph system
• A maximum principle for periodic solutions of the telegraph equation
• Positive doubly periodic solutions of nonlinear telegraph equations.
• A maximum principle for bounded solutions of the telegraph equations and applications to nonlinear forcings
• Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem
• Nonnegative doubly periodic solutions for nonlinear telegraph system
• Positive solutions to superlinear semipositone periodic boundary value problems with repulsive weak singular forces
• Periodic solutions of second order non-autonomous singular dynamical systems
• An Ambrosetti–Prodi-type result for periodic solutions of the telegraph equation
• Multiplicity results for singular conjugate, focal, and \((N,P)\) problems

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