On the construction of the general solution of a class of complex nonautonomous equations

DOI10.1007/S10958-015-2218-7zbMath1354.34029OpenAlexW2156991407MaRDI QIDQ893717

M. V. Shamolin, Yu. M. Okunev

Publication date: 20 November 2015

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

Full work available at URL: https://doi.org/10.1007/s10958-015-2218-7

zbMATH Keywords

Riccati equationHamiltonian systemJacobi equationcomplete integralcomplex nonautonomous linear second order equations

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (2)

Low-dimensional and multidimensional pendulums in nonconservative fields. I ⋮ Low-dimensional and multidimensional pendulums in nonconservative fields. II

Cites Work

• On integrability in elementary functions of certain classes of nonconservative dynamical systems
• 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
• On integrability in elementary functions of certain classes of complex nonautonomous equations
• Integrability and non-integrability in Hamiltonian mechanics
• Spatial topographical systems of Poincaré and comparison systems
• On integrability in transcendental functions
• On limit sets of differential equations near singular critical points
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