Positive solutions of nonlinear problems at resonance

DOI10.1007/BF00050896zbMath0811.47061WikidataQ60199487 ScholiaQ60199487MaRDI QIDQ1206285

Juan. J. Nieto

Publication date: 1 April 1993

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

nonlinear operatorsemilinear problemexistence of a positive periodic solutionmethod of upper and lower solutionnoninvertible linear operator

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

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Periodic solutions for scalar Lieńard equations

Cites Work

• A fixed point theorem with application to an infectious disease model
• Periodic solutions for scalar Lieńard equations
• Periodic solutions of second order nonlinear differential equations
• Existence of periodic solutions of nonlinear boundary value problems and the method of upper and lower solutions
• Existence of Solutions in a Cone for Nonlinear Alternative Problems
• A Leray-Schauder technique for the investigation of periodic solutions of the equation 59-159-159-1
• An Abstract Existence Theorem at Resonance
• On the Existence of Trivial Intersection Subgroups
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