Equations whose sets of solutions are invariant under a group of mappings isomorphic to a one-parameter group of rotations

DOI10.1007/S10958-021-05453-9zbMath1481.34048OpenAlexW3186727252MaRDI QIDQ2043932

V. Yu. Slyusarchuk

Publication date: 4 August 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05453-9

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Stability of solutions to ordinary differential equations (34D20) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (3)

Oscillations of the Earth surface caused by its rotation, motion around the Sun, and a finite speed of gravity ⋮ Equations of motion for bodies of the same mass uniformly distributed over a circle with regard for the speed of gravity ⋮ Dynamics of two bodies with trajectories on a fixed straight line with regard for the finite speed of gravity

Cites Work

• Differential-difference equations
• Theory of functional differential equations. 2nd ed
• Mathematical model of the solar system with regard for the velocity of gravitation
• Non-Keplerian behavior and instability of motion of two bodies caused by the finite velocity of gravitation
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