On Solutions of the One-Dimensional Goldshtik Problem

DOI10.1134/S0001434624010024MaRDI QIDQ6494787

O. V. Baskov, D. K. Potapov

Publication date: 30 April 2024

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

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Qualitative theory for ordinary differential equations (34Cxx) General theory for ordinary differential equations (34Axx)

Cites Work

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• Differential equations with bistable nonlinearity
• Periodic solutions of second-order differential equations with discontinuous nonlinearity
• Sturm-Liouville's problem with discontinuous nonlinearity
• Stability results for discontinuous nonlinear elliptic and parabolic problems with a S-shaped bifurcation branch of stationary solutions
• Existence of solutions, estimates for the differential operator, and a ``separating set in a boundary value problem for a second-order differential equation with a discontinuous nonlinearity
• Non-smooth dynamical systems
• Continuous approximations of Gol'dshtik's model
• Differential equations with impulse effects. Multivalued right-hand sides with discontinuities
• Periodic solutions of a class of non-autonomous discontinuous second-order differential equations
• Periodic solutions of discontinuous second order differential systems
• Sliding solutions of second‐order differential equations with discontinuous right‐hand side
• Continuous approximation for a 1D analog of the Gol’dshtik model for separated flows of an incompressible fluid
• On solutions to the Goldshtik problem

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