ON APPLICATIONS OF THE METHOD OF GUIDING FUNCTIONS IN SOME PROBLEMS OF NONLINEAR ANALYSIS AND CONTROL THEORY
Authors:
Type:
Article
Pages:
from 316
to 328
Status:
Published
Received:
29.08.2014
Accepted:
10.10.2014
Published:
10.10.2014
Language:
Russian
Keywords:
guiding function, periodic solution, bounded solution, boundary value problem, bifurcation
Abstract (English):
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.
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
guiding function, periodic solution, bounded solution, boundary value problem, bifurcation
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.
