Discrete-space systems of partial dynamic equations and discrete-space wave equation

DOI10.1007/S12346-016-0193-0zbMath1408.34075OpenAlexW2288224022MaRDI QIDQ1697721

Antonín Slavík

Publication date: 20 February 2018

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-016-0193-0

zbMATH Keywords

wave equationfundamental solutionwell-posednesssuperposition principletime scalelattice equation

Mathematics Subject Classification ID

Wave equation (35L05) Partial difference equations (39A14) Dynamic equations on time scales or measure chains (34N05) Initial value problems for systems of linear first-order PDEs (35F40) Numerical methods for difference equations (65Q10)

Related Items (5)

Invariant regions for systems of lattice reaction-diffusion equations ⋮ Asymptotic behavior of solutions to the semidiscrete diffusion equation ⋮ On the translation invariant operators on \(\ell^p(\mathbb{Z}^d)\) ⋮ Exponential number of stationary solutions for Nagumo equations on graphs ⋮ Discrete Bessel functions and partial difference equations

Uses Software

• DLMF

Cites Work

• Explicit solutions to dynamic diffusion-type equations and their time integrals
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Dynamic diffusion-type equations on discrete-space domains
• The SMM model as a boundary value problem using the discrete diffusion equation
• Ordinary differential equations in Banach spaces
• Partial differential equations on time scales
• The method of finding solutions of partial dynamic equations on time scales
• Existence and uniqueness of solutions to discrete diffusion equations
• Discrete-space partial dynamic equations on time scales and applications to stochastic processes
• Partial dynamic equations on time scales
• Transport equation on semidiscrete domains and Poisson–Bernoulli processes
• Mixing Problems with Many Tanks
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