On integrability in elementary functions of certain classes of complex nonautonomous equations

DOI10.1007/S10958-010-9837-9zbMath1288.34004OpenAlexW1968649145MaRDI QIDQ2452863

M. V. Shamolin, Yu. M. Okunev

Publication date: 5 June 2014

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

Full work available at URL: https://doi.org/10.1007/s10958-010-9837-9

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (2)

On the construction of the general solution of a class of complex nonautonomous equations ⋮ Integrable variable dissipation systems on the tangent bundle of a multi-dimensional sphere and some applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Body motion in a resisting medium
• Phase pattern classification for the problem of the motion of a body in a resisting medium in the presence of a linear damping moment
• Introduction to problem on braking of a body in a resisting medium and new two-parametric family of phase portraits
• New integrable cases and families of portraits in the plane and spatial dynamics of a rigid body interacting with a medium
• Integrability and non-integrability in Hamiltonian mechanics
• Modest theory of short chains. I
• Spatial topographical systems of Poincaré and comparison systems
• On integrability in transcendental functions
• On limit sets of differential equations near singular critical points

This page was built for publication: On integrability in elementary functions of certain classes of complex nonautonomous equations