Existence and localization of solutions for operatorial systems defined on Cartesian product of Fréchet spaces using a new vector version of Krasnoselskii's cone compression-expansion theorem

DOI10.1016/j.amc.2015.04.124zbMath1410.47022OpenAlexW255551790MaRDI QIDQ1664177

J. J. Kolumbán, Szilárd András

Publication date: 24 August 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.04.124

zbMATH Keywords

fixed pointsnonlinear systempositive solutionFréchet spacedifferential systemcomponentwise compression-expansion

Mathematics Subject Classification ID

Fixed-point theorems (47H10)

Cites Work

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• FIXED POINTS OF CONE-COMPRESSING AND CONE-EXTENDING OPERATORS IN FRÉCHET SPACES
• A survey on stationary problems, Green’s functions and spectrum of Sturm–Liouville problem with nonlocal boundary conditions
• Existence of multiple positive solutions for a nonlocal boundary value problem with sign changing nonlinearities
• Fixed point theory in Fréchet spaces for Volterra type operators