On applications of the method of guiding functions in some problems of nonlinear analysis and control theory

V. Obukhovskiy

doi:10.12737/4770

ON APPLICATIONS OF THE METHOD OF GUIDING FUNCTIONS IN SOME PROBLEMS OF NONLINEAR ANALYSIS AND CONTROL THEORY On applications of the method of guiding functions in some problems of nonlinear analysis and control theory

АА Аа

Published in Actual directions of scientific researches of the XXI century: theory and practice · Volume 2, Issue 4, p. 1 · Pages 316–328 · Rubric: Section: Theory of Management and Information Systems

DOI: https://doi.org/10.12737/4770

Received: 29.08.2014 Accepted: 10.10.2014 Published: 10.10.2014 Language of publication: RUS

Authors

V. Obukhovskiy

ABSTRACT

We discuss the contemporary developments of the method of guiding functions: non-smooth guiding functions, integral guiding functions, guiding functions in infinite-dimensional spaces. We consider applications to the existence of periodic, generalized periodic, and bounded solutions, boundary value problems, bifurcations of families of solutions and other questions.

KEYWORDS

guiding function, periodic solution, bounded solution, boundary value problem, bifurcation

Text

МНФ: Классический подход.

1. V. Obukhovskii, P. Zecca, N.V. Loi, S. Kornev Method of Guiding Functions in Problems of Nonlinear Analysis, Lecture Notes in Math. 2076, Springer, Berlin - Heidelberg, 2013.

This work is licensed under Creative Commons Attribution 4.0 International

JATS XML

Responsible secretary

Igor Shanin

kingoao@mail.ru

This work is licensed under Creative Commons Attribution 4.0 International Creative Commons

GOST

Obukhovskiy V. On applications of the method of guiding functions in some problems of nonlinear analysis and control theory // Actual directions of scientific researches of the XXI century: theory and practice. 2014. no. 4. pp. 316-328. DOI: https://doi.org/10.12737/4770. (Date of access 24.10.2026).

MLA

V. Obukhovskiy. "On applications of the method of guiding functions in some problems of nonlinear analysis and control theory." Actual directions of scientific researches of the XXI century: theory and practice 2.4 (2014): 316-328. DOI: https://doi.org/10.12737/4770.

APA

Obukhovskiy V. (2014). On applications of the method of guiding functions in some problems of nonlinear analysis and control theory. Actual directions of scientific researches of the XXI century: theory and practice, 2(4), 316-328. https://doi.org/10.12737/4770

Chicago

V. Obukhovskiy. "On applications of the method of guiding functions in some problems of nonlinear analysis and control theory." Actual directions of scientific researches of the XXI century: theory and practice 2, no. 4 (2014): 316-328. https://doi.org/10.12737/4770.

WIKI

{{cite journal | author = Obukhovskiy V. | title = On applications of the method of guiding functions in some problems of nonlinear analysis and control theory | journal = Actual directions of scientific researches of the XXI century: theory and practice | year = 2014 | volume = 2 | issue = 4 | pages = 316-328 | doi = 10.12737/4770 }}

Copy

Export: BibTeX EndNote RefMan RusMARC

ON APPLICATIONS OF THE METHOD OF GUIDING FUNCTIONS IN SOME PROBLEMS OF NONLINEAR ANALYSIS AND CONTROL THEORY On applications of the method of guiding functions in some problems of nonlinear analysis and control theory

Confirmation