On extremal fixed points in Schauder's theorem with applications to differential equations

zbMath1076.47044MaRDI QIDQ1766236

José Ángel Cid

Publication date: 28 February 2005

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

zbMATH Keywords

Schauder's fixed point theoremdirected setextremal fixed pointsextremal solutions for boundary value problems

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)

Related Items (7)

Positive solutions of singular Dirichlet boundary value problems with time and space singularities ⋮ Extremal solutions for nonlinear functional \(\varphi\)-Laplacian impulsive equations ⋮ An overview of the lower and upper solutions method with nonlinear boundary value conditions ⋮ Extremal solutions of nonlinear functional discontinuous fractional equations ⋮ Solution components in a degenerate weighted BVP ⋮ The uniqueness of fixed points for decreasing operators. ⋮ Positive and maximal positive solutions of singular mixed boundary value problem

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