Superpositions for nonlinear operators. I: Strong superpositions and linearizability

DOI10.1016/0022-247X(72)90065-0zbMath0207.45701MaRDI QIDQ2543261

Alfred Inselberg

Publication date: 1972

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear operators and their properties (47H99)

Related Items

Lie–Hamilton systems on curved spaces: a geometrical approach, Lie-Hamilton systems on the plane: properties, classification and applications, Noncommutative superpositions for nonlinear operators, Superpositions for nonlinear operators. II: Generalized affine operators, Quasi-Lie families, schemes, invariants and their applications to Abel equations, Poisson–Hopf deformations of Lie–Hamilton systems revisited: deformed superposition rules and applications to the oscillator algebra

Cites Work

• Nonlinear superposition
• Linear solvability and the Riccati operator
• Phase-plane solutions of Langmuir's equation
• Noncommutative superpositions for nonlinear operators
• Nonlinear Model of Boltzmann's Equations for a Many-Component Gas