A periodic boundary value problem with switchings under nonlinear perturbations

DOI10.1186/s13661-023-01734-1OpenAlexW4367183628MaRDI QIDQ6161753

Sergeĭ Mikhaĭlovich Chuĭko, Peter Benner, Alexander Zuyev

Publication date: 27 June 2023

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

Full work available at URL: https://doi.org/10.1186/s13661-023-01734-1

zbMATH Keywords

critical caseperiodic boundary value problemequation for the generating constantsnonlinear chemical reaction model

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Perturbations of ordinary differential equations (34D10) Discontinuous ordinary differential equations (34A36) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Parameter dependent boundary value problems for ordinary differential equations (34B08) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (3)

Least-squares method in the theory of nonlinear boundary-value problems unsolved with respect to the derivative ⋮ On the reduction of an autonomous nonlinear boundary value problem unsolved with respect to the derivative to the first-order critical case ⋮ Iterative schemes for periodic boundary-value problems with switchings

Cites Work

• Unnamed Item
• Unnamed Item
• Generalized inverse operators and Fredholm boundary-value problems. Translated from the Russian by P. V. Malyshev
• Generalized Green operator for an impulsive boundary-value problem with switchings
• Existence for singular periodic problems: a survey of recent results
• Global structure of positive solutions for superlinear second-order periodic boundary value problems
• First order periodic problem at resonance with nonlinear impulses
• Existence, multiplicity, and dependence on a parameter for a periodic boundary value problem
• On periodic solutions of autonomous systems
• On approximate solutions of nonlinear boundary-value problems by the Newton-Kantorovich method
• Periodic solutions of a class of nonautonomous second-order Hamiltonian systems with nonsmooth potentials
• Periodic switching strategies for an isoperimetric control problem with application to nonlinear chemical reactions
• Nonlinear Noetherian boundary-value problem in the case of parametric resonance
• Periodic solutions of second order non-autonomous singular dynamical systems
• On perturbed nonlinear boundary value problems
• Existence Results for Periodic Boundary Value Problems with a Convenction Term
• Generalized Inverses of Linear Transformations

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