Differential Equations in Algebras

DOI10.1007/978-3-7643-9893-4_12zbMath1228.17001OpenAlexW130462562MaRDI QIDQ5192394

Yakov Krasnov

Publication date: 5 August 2009

Published in: Hypercomplex Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7643-9893-4_12

zbMATH Keywords

idempotentsDirac equationRiccati equationnon-associative algebraPeirce number

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) General theory of PDEs and systems of PDEs with constant coefficients (35E20) Multilinear and polynomial operators (47H60) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15) General theory of nonassociative rings and algebras (17A01)

Related Items (3)

Properties of ODEs and PDEs in algebras ⋮ Idempotent geometry in generic algebras ⋮ Partial qualitative analysis of planar 𝓐Q-Riccati equations

Cites Work

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• First order elliptic systems. A function theoretic approach
• Orbital stability for ordinary differential equations
• A simple generalization of analytic function theory
• Monogenic differential operators
• Classification and Analysis of two-dimensional real homogeneous quadratic differential equation systems
• Quadratic dynamical systems and algebras
• Cauchy's integral theorem on a finitely generated, real, commutative, and associative algebra
• Polynomial first integrals of quadratic systems.
• A brief history of Kovalevskaya exponents and modern developments
• On non-integrability of general systems of differential equations
• A Lefschetz fixed point formula for elliptic complexes. II: Applications
• On the existence of polynomial first integrals of quadratic homogeneous systems of ordinary differential equations
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Contributions to the Theory of Nonlinear Oscillations (AM-45), Volume V
• Complex Structures in Real Algebras. I. Two-Dimensional Commutative Case
• On stability of critical points of quadratic differential equations in nonassociative algebras
• On stability of the origin in quadratic systems of ODEs via Markus approach

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