The Poincare-Miranda Theorem

From MaRDI portal
Publication:4361613

DOI10.2307/2975081zbMath0891.47040OpenAlexW3140445122WikidataQ56601801 ScholiaQ56601801MaRDI QIDQ4361613

Władysław Kulpa

Publication date: 12 July 1998

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2975081




Related Items (65)

Bifurcation of limit cycles for a perturbed piecewise quadratic differential systemsBolzano's theorems for holomorphic mappingsCube-like complexes, Steinhaus' chains and the Poincaré-Miranda theoremStatic symmetric solutions of the semi-classical Einstein-Klein-Gordon systemLower bounds for the local cyclicity for families of centersA two-patch epidemic model with nonlinear reinfectionExistence of Homoclinic and Heteroclinic Connections in Continuous Piecewise Linear SystemsThe multivariate bisection algorithmExistence and uniqueness of a steady state for an OTC market with several assetsMultiple sign-changing solutions for a class of Schrödinger equations with saturable nonlinearityConcentrated solutions for a critical elliptic equationAn upper bound of the measure-theoretical entropyPeriodic perturbations of Hamiltonian systemsThe intersection properties of generalized Helly families for inverse limit spacesThe cube-like complexes and the Poincaré-Miranda theoremOn the prescribed scalar curvature problem with very degenerate prescribed functionsNodal solutions for a supercritical problem with variable exponent and logarithmic nonlinearityOn extensions of the domain invariance theoremEntropic herdingExistence and stability of periodic solutions of Nicholson-type system with nonlinear density-dependent mortalityGround-state sign-changing homoclinic solutions for a discrete nonlinear \(p\)-Laplacian equation with logarithmic nonlinearityHelical vortices with small cross-section for 3D incompressible Euler equationGeneralizations of Bolzano intermediate value theorem for balls and convex domainsWronskians, total positivity, and real Schubert calculusHigher Markov and Bernstein inequalities and fast decreasing polynomials with prescribed zerosBifurcations from a normally degenerate cycle in forced planar differential equationsLimit Cycles for Piecewise Linear Differential Systems via Poincaré–Miranda TheoremReal radical initial idealsUlam Stability of Zero Point EquationsThe Bolzano-Poincaré-Miranda theorem -- discrete versionPeriodic points of a Landen transformationThe Bolzano-Poincaré type theoremsNew lower bound for the Hilbert number in piecewise quadratic differential systemsLower bounds for the local cyclicity of centers using high order developments and parallelizationSimple Proofs of the Hadamard and Poincaré–Miranda Theorems Using the Brouwer Fixed Point TheoremRegularization of point vortices pairs for the Euler equation in dimension twoIncluding homoclinic connections and T-point heteroclinic cycles in the same global problem for a reversible family of piecewise linear systemsStudy of the Hopf bifurcation in the Lorenz, Chen and Lü systemsIntermediate value theorem for simplices for simplicial approximation of fixed points and zerosUnnamed ItemAn \(n\)-dimensional version of Steinhaus' chessboard theoremThe Poincaré-Miranda theorem and viability conditionOn a denseness result for quasi-infinitely divisible distributionsOn the complexity of isolating real roots and computing with certainty the topological degreeEnclosing all zeros of a system of analytic functionsUneven splitting of ham sandwichesOn a problem related to a non-squeezing theoremApplication of the characteristic bisection method for locating and computing periodic orbits in molecular systemsConvergent upper bounds in global minimization with nonlinear equality constraintsIntersection properties of Helly familiesDesingularization of vortices for the Euler equationA fixed point theorem for conical shellsPeriodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theoremOn the structure of the nodal set and asymptotics of least energy sign-changing radial solutions of the fractional Brezis-Nirenberg problemLimit cycles in 4-star-symmetric planar piecewise linear systemsGeneralizing the Poincaré-Miranda theorem: the avoiding cones conditionGrassmann inequalities and extremal varieties in \(\mathbb{P}\left(\bigwedge^p\mathbb{R}^n\right)\)Degree-dependent threshold-based random sequential adsorption on random treesA predator-prey system with generalized Holling type IV functional response and Allee effects in preyCharacterization of c-, L- and ϕ k-optimal Designs for a Class of Non-Linear Multiple-Regression ModelsExistence of homoclinic connections in continuous piecewise linear systemsThe intermediate value theorem and decision-making in psychology and economics: an expositional consolidationA crossing lemma for annular regions and invariant sets with an application to planar dynamical systemsA remark on the invariance of dimensionGeneralization of the Bolzano theorem for simplices




This page was built for publication: The Poincare-Miranda Theorem