Properties of ODEs and PDEs in algebras

DOI10.1007/s11785-012-0247-5zbMath1286.34019OpenAlexW2082910716MaRDI QIDQ371811

Yakov Krasnov

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-012-0247-5

zbMATH Keywords

Dirac equationRiccati equationdifferential equations in algebra

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) General theory of nonassociative rings and algebras (17A01)

Related Items (5)

Step-by-step resolution of singularities and studying interactions between them ⋮ Idempotent geometry in generic algebras ⋮ Symmetry operators and solutions to differential equations in algebra ⋮ Partial qualitative analysis of planar 𝓐Q-Riccati equations ⋮ On a generalization of some instability results for Riccati equations via nonassociative algebras

Cites Work

• Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
• Singularities of vector fields
• Quadratic functions in geometry, topology, and \(M\)-theory
• Non-associative algebras. I: Fundamental concepts and isotopy
• Projective dynamics of homogeneous systems: local invariants, syzygies and the Global Residue Theorem
• On algebras of rank three
• Complex Structures in Real Algebras. I. Two-Dimensional Commutative Case
• From local to global behavior in competitive Lotka-Volterra systems
• The interplay between analysis and topology in some nonlinear PDE problems
• Differential Equations in Algebras
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