Existence and localization theorems for a discrete nonlinear eigenvalue problem

DOI10.1016/S0895-7177(01)00088-7zbMath0996.35083MaRDI QIDQ1600442

Fu-Yu Hsieh, Sui-Sun Cheng

Publication date: 13 June 2002

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

comparison theoremexistence theoremlocalization theoremFisher equationsteady-state equationdiscrete reaction-diffusion equationshooting sequence

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Reaction-diffusion equations (35K57) Partial functional-differential equations (35R10)

Related Items (4)

Positive solutions of a general discrete Dirichlet boundary value problem ⋮ Elementary variational approach to zero-free solutions of a nonlinear eigenvalue problem ⋮ Simple diffusion can support the pitchfork, the flip bifurcations, and the chaos ⋮ Periodic solutions for difference systems with delay

Cites Work

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• Monotone methods for a discrete boundary problem
• Existence of traveling wavefront solutions for the discrete Nagumo equation
• Spatially discrete nonlinear diffusion equations
• A numerical study of chaos in a reaction-diffusion equation
• An investigation of chaos in reaction-diffusion equations
• Stability of Traveling Wavefronts for the Discrete Nagumo Equation
• Finite‐difference methods for solving the reaction‐diffusion equations of a simple isothermal chemical system
• Finite difference reaction diffusion equations with nonlinear boundary conditions
• Positive solutions and dynamics of a finite difference reaction–diffusion system

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