Application of \(p\)-regularity theory to nonlinear boundary value problems

DOI10.1186/1687-2770-2013-251zbMath1306.47074OpenAlexW2075851286WikidataQ59303336 ScholiaQ59303336MaRDI QIDQ2252548

Wiesław Grzegorczyk, Beata Medak, Alexey A. Tret'yakov

Publication date: 18 July 2014

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-251

zbMATH Keywords

singularitydifferential equationsnonlinear boundary value problems\(p\)-factor operator\(p\)-regularity\(p\)-kernel

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (5)

Application of \(p\)-regularity theory to the Duffing equation ⋮ Existence of periodic solutions to nonlinear \(p\)-regular boundary value problem ⋮ On solution existence for a singular nonlinear Burgers equation with small parameter and \(p\)-regularity theory ⋮ The nonlinear singular Burgers equation with small parameter and \(p\)-regularity theory ⋮ Nonregular mixed-constrained optimization problems

Cites Work

• Unnamed Item
• Higher-order implicit function theorems and degenerate nonlinear boundary-value problems
• Applications of the blowing-up construction and algebraic geometry to bifurcation problems
• Factor-analysis of nonlinear mappings: \(p\)-regularity theory
• The method of gradient descent for minimizing non-convex functions
• A remark on the existence of solutions to nonlinear equations with degenerate mappings
• The implicit function theorem in degenerate problems

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