On the number of positive solutions of a nonlinear algebraic system

DOI10.1016/j.laa.2006.10.026zbMath1121.39013OpenAlexW1967256678MaRDI QIDQ874990

Guang Zhang, Wenying Feng

Publication date: 10 April 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2006.10.026

zbMATH Keywords

difference equations

Mathematics Subject Classification ID

Related Items (25)

Positive solutions of a nonlinear algebraic system with sign-changing coefficient matrix ⋮ Positive solutions for a nonlinear algebraic system with nonnegative coefficient matrix ⋮ Systems of nonlinear algebraic equations with positive solutions ⋮ Existence of positive solutions to discrete second-order boundary value problems with indefinite weight ⋮ Existence of solutions for a nonlinear algebraic system with a parameter ⋮ Eigenvalue and spectral intervals for a nonlinear algebraic system ⋮ Algebraic systems with Lipschitz perturbations ⋮ UNIQUENESS OF THE SOLUTION OF A NONLINEAR ALGEBRAIC SYSTEM ⋮ Positive solutions of a general discrete Dirichlet boundary value problem ⋮ Global structure of positive solutions of a discrete problem with sign-changing weight ⋮ Existence of positive solutions for a class of discrete Dirichlet boundary value problems ⋮ On a fractional higher order initial value problem ⋮ Existence and uniqueness of positive solutions of a system of nonlinear algebraic equations ⋮ Systems of nonlinear algebraic equations with unique solution ⋮ Simple diffusion can support the pitchfork, the flip bifurcations, and the chaos ⋮ An application of the Krasnoselskii theorem to systems of algebraic equations ⋮ Existence of positive solutions for a class of nonlinear algebraic systems ⋮ Discrete elliptic Dirichlet problems and nonlinear algebraic systems ⋮ Nontrivial solutions for a nonlinear discrete elliptic equation with periodic boundary conditions ⋮ Global structure of positive solutions for superlinear discrete boundary value problems ⋮ Bifurcation interval for positive solutions to discrete second-order boundary value problems ⋮ A global description of the positive solutions of sublinear second-order discrete boundary value problems ⋮ Spectrum of discrete second-order difference operator with sign-changing weight and its applications ⋮ Existence of solutions for a nonlinear algebraic system ⋮ Multiple solutions for partial discrete Dirichlet problems depending on a real parameter

Cites Work

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• On fourth order boundary value problems arising in beam analysis
• Sinc-Galerkin solution for nonlinear two-point boundary value problems with applications to chemical reactor theory
• Inertia characteristics of self-adjoint matrix polynomials
• On the existence of positive solutions of higher order difference equations
• A sign-changing solution for a superlinear Dirichlet problem
• On the eigenvalues of boundary value problems for higher order difference equations
• On the existence of positive solutions for semilinear elliptic equations in the annulus
• Nonresonance conditions for fourth order nonlinear boundary value problems
• An algebraic principle for the stability of difference operators
• The method of lower and upper solutions for fourth-order two-point boundary value problems
• On the number of positive solutions of nonlinear systems.
• Renormalization group analysis of the small-world network model
• On a discrete nonlinear boundary value problem
• Existence of positive solutions of nonlinear discrete Sturm-Liouville problems
• Existence of \(2^n\) nontrivial solutions for discrete two-point boundary value problems
• Three-point boundary value problems for difference equations
• Chaos of discrete dynamical systems in complete metric spaces
• Singular discrete boundary value problems
• An extension of the Hess-Kato theorem to elliptic systems and its applications to multiple solution problems
• Positive periodic solutions of functional differential equations
• Block monotone iterative methods for numerical solutions of nonlinear elliptic equations
• A fixed-point approach for nonlinear discrete boundary value problems
• Positive solutions and nonlinear eigenvalue problems for third-order difference equations
• Discrete conjugate boundary value problems
• Periodic solutions of a single species discrete population model with periodic harvest/stock
• Discrete chaos in Banach spaces
• Existence of solutions for a nonlinear system with a parameter
• Emergence of Scaling in Random Networks
• Difference Equations: Disconjugacy, Principal Solutions, Green's Functions, Complete Monotonicity
• Asymptotic analysis for linear difference equations
• On a generalized difference system
• Pinning a Complex Dynamical Network to Its Equilibrium
• Collective dynamics of ‘small-world’ networks
• A discrete boundary value problem
• Models of the small world.
• Adomian's method for Hammerstein integral equations arising from chemical reactor theory

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