Existence of periodic solutions to nonlinear \(p\)-regular boundary value problem

DOI10.1186/s13661-015-0360-2zbMath1344.37020OpenAlexW1585552580WikidataQ59405246 ScholiaQ59405246MaRDI QIDQ283392

Beata Medak, Alexey A. Tret'yakov

Publication date: 13 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0360-2

zbMATH Keywords

contractiondynamical systemsbifurcations\(p\)-factor operator\(p\)-regularity

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Periodic orbits of vector fields and flows (37C27) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (6)

Application of \(p\)-regularity theory to the Duffing equation ⋮ \(p\)-regularity theory and the existence of a solution to a boundary value problem continuously dependent on boundary conditions ⋮ On solution existence for a singular nonlinear Burgers equation with small parameter and \(p\)-regularity theory ⋮ Continuous dependence of the singular nonlinear Van der Pol equation solutions with respect to the boundary conditions: elements of \(p\)-regularity theory ⋮ The nonlinear singular Burgers equation with small parameter and \(p\)-regularity theory ⋮ Nonregular mixed-constrained optimization problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• High order stability conditions for degenerate optimization problems; elements of \(p\)-regularity theory
• On the existence of solutions to nonlinear equations involving singular mappings with non-zero \(p\)-kernel
• Classification and unfoldings of degenerate Hopf bifurcations
• Applications of the blowing-up construction and algebraic geometry to bifurcation problems
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Hopf bifurcation at multiple eigenvalues
• Bifurcation and Hopf bifurcation at multiple eigenvalues for equations with Lipschitz mappings
• A modified 2-factor method for solving systems of nonlinear equations
• Factor-analysis of nonlinear mappings: \(p\)-regularity theory
• Application of \(p\)-regularity theory to nonlinear boundary value problems
• Generalization of p-regularity notion and tangent cone description in the singular case
• The implicit function theorem in degenerate problems
• \(p\)-regular nonlinear dynamics

This page was built for publication: Existence of periodic solutions to nonlinear \(p\)-regular boundary value problem