Equations in Hilbert spaces whose sets of solutions are invariant under a group isomorphic to a one-parameter group of unitary operators

DOI10.1007/s11253-020-01765-2OpenAlexW3044143161MaRDI QIDQ2203115

V. Yu. Slyusarchuk

Publication date: 1 October 2020

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-020-01765-2

Mathematics Subject Classification ID

Operator theory (47-XX) Ordinary differential equations (34-XX)

Related Items (4)

Dynamics of three bodies located on a straight line for a finite speed of gravity ⋮ 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

• Peano's theorem in Banach spaces
• 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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