Analytical approach to initial-value problems in nonlinear systems

DOI10.1063/1.524970zbMath0493.76091OpenAlexW2006132143MaRDI QIDQ3956658

Víctor Fairén, Léon Brenig

Publication date: 1981

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.524970

zbMATH Keywords

reaction-diffusionheterogeneous catalysisequivalent infinite system of linear first order differential equations

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Diffusion and convection (76R99)

Related Items (8)

On the reversion m ethod for the approxim ate solution of non-linear ordinary differential equations ⋮ Structure and convergence of Poincaré-like normal forms ⋮ Hilbert space description of classical dynamical systems. I ⋮ Investigation of Painlevé property under time singularities transformations ⋮ Families of invariants of the motion for the Lotka–Volterra equations: The linear polynomials family ⋮ Carleman embedding and Lyapunov exponents ⋮ A non-linear stochastic differential equation: Exact critical statics and dynamics ⋮ Space–time memory functions and solution of nonlinear evolution equations

Cites Work

• Scaling Theory of Non-Equilibrium Systems near the Instability Point. I: General Aspects of Transient Phenomena
• Deterministic Nonperiodic Flow

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