Variations on Poincaré-Miranda’s Theorem

DOI10.1515/ans-2013-0112zbMath1278.55004OpenAlexW1817359734MaRDI QIDQ4920729

Jean Mawhin

Publication date: 22 May 2013

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2013-0112

zbMATH Keywords

differential formsHilbert cubePoincaré-Miranda's theorem

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Differential forms in global analysis (58A10) Fixed points and coincidences in algebraic topology (55M20)

Related Items (15)

Bolzano's theorems for holomorphic mappings ⋮ Periodic solutions of second-order differential equations in Hilbert spaces ⋮ Stable configurations in social networks ⋮ A note on a fixed point theorem on topological cylinders ⋮ The Bolzano mean-value theorem and partial differential equations ⋮ Variations on some finite-dimensional fixed-point theorems ⋮ The implicit function theorem and its substitutes in Poincaré's qualitative theory of differential equations ⋮ Remarks on the infinite‐dimensional counterparts of the Darboux theorem ⋮ Generalizations of Bolzano intermediate value theorem for balls and convex domains ⋮ A new example for the Lavrentiev phenomenon in nonlinear elasticity ⋮ Ulam Stability of Zero Point Equations ⋮ Bound sets and two-point boundary value problems for second order differential systems ⋮ The Poincaré-Miranda theorem and viability condition ⋮ A crossing lemma for annular regions and invariant sets with an application to planar dynamical systems ⋮ Existence and multiplicity results for some nonlinear problems with singular \(\phi\)-Laplacian via a geometric approach

Cites Work

• Unnamed Item
• An existence theorem for periodic solutions of nonlinear ordinary differential equations
• Simple proofs of various fixed point and existence theorems based on exterior calculus

This page was built for publication: Variations on Poincaré-Miranda’s Theorem