Method for constructing approximate analytic solutions of differential equations with a polynomial right-hand side

DOI10.1134/S0965542515100024zbMath1332.34027OpenAlexW2194485886MaRDI QIDQ904391

S. M. Dzyuba, Alexander P. Afanas'ev

Publication date: 13 January 2016

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542515100024

zbMATH Keywords

continuation of local solutionsdifferential equations with polynomial right-hand sideminimum sets of the Lorenz systemPicard method of successive approximations

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45)

Related Items (3)

The varying piecewise interpolation solution of the Cauchy problem for ordinary differential equations with iterative refinement ⋮ Decomposition implementation of Horner's scheme for calculating the values of multidimentional polynomials ⋮ Optimal control of nonlinear systems with separated linear part via quadratic criteria

Cites Work

• On recurrent trajectories, minimal sets, and quasiperiodic motions of dynamical systems
• Приближенное аналитическое решение систем обыкновенных дифференциальных уравнений с полиномиальной правой частью
• Deterministic Nonperiodic Flow
• On Some Differential Games
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