Operator method for the perturbative solution of ordinary differential equations

DOI10.1016/0898-1221(78)90034-2zbMath0392.34037OpenAlexW2083240813MaRDI QIDQ1251757

Bernard Rosen

Publication date: 1978

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(78)90034-2

zbMATH Keywords

Approximate SolutionsAlgebraic SolutionsBogoliubov-Krylov-Mitropolsky (Bkm) Method of AveragingDamped Harmonic OscillatorExponential FunctionsFeynman Operator CalculusInteractions Between ModesLie OperatorsLotka-Volterra ProblemMethod of AveragingNonlinear OscillationsVan Der Pol Oscillator

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Uses Software

• IBM Scratchpad
• MACSYMA

Cites Work

• Unnamed Item
• Unnamed Item
• Generalized Hamiltonian dynamics
• Application of Digital Computers to Solve Analytically a Class of Second-Order Non-linear Ordinary Differential Equations
• An Operator Calculus Having Applications in Quantum Electrodynamics

This page was built for publication: Operator method for the perturbative solution of ordinary differential equations