Nonzero Periodic Solutions of a Special System of Nonlinear Differential Equations

We prove a theorem on the existence of a nonzero periodic solution to a system of differential equations using the fixed-point method for a nonlinear operator defined on the product of two compact sets.

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 248; no. 4; pp. 467 - 475
Main Author Terekhin, M. T.
Format Journal Article
LanguageEnglish
Published New York Springer US 09.07.2020
Springer
Springer Nature B.V
Subjects
Differential equations
Existence theorems
Fixed points (mathematics)
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinear differential equations
Nonlinear equations
Lipschitz condition
34C25
minor
34C99
vector-valued function
rank of matrix
fixed-point method
Jacobi matrix
vector-valued form
nonlinear operator
fundamental matrix of solutions
nonzero periodic solution
vector-valued parameter
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Summary:We prove a theorem on the existence of a nonzero periodic solution to a system of differential equations using the fixed-point method for a nonlinear operator defined on the product of two compact sets.
Bibliography:ObjectType-Article-1
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content type line 14
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-020-04887-x