Positive solutions to periodic boundary value problems involving nonlinear operators of Meir-Keeler-type

DOI10.1007/s12215-012-0089-zzbMath1276.47072OpenAlexW2023620703MaRDI QIDQ1758644

Maher Berzig, Bessem Samet

Publication date: 15 November 2012

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-012-0089-z

zbMATH Keywords

conefixed pointperiodic boundary value problemordered Banach spaceelastic beam equationThompson metric\(\varepsilon \)-chainableMeir-Keeler-type

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (4)

New fixed point theorems for the sum of two mixed monotone operators of Meir-Keeler type and their applications to nonlinear elastic beam equations ⋮ A coincidence point theorem and its applications to fractional differential equations ⋮ Spectrum of periodic Sturm-Liouville problems involving additional transmission conditions ⋮ Positive definite solution of the matrix equation \(X = Q - A{^*}X^{-1}A + B{^*}X^{- 1}B\) via Bhaskar-Lakshmikantham fixed point theorem

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