A Criterion for the Existence of the Unique Periodic Solution of One-Dimensional Periodic Differential Equation

Authors :: Ni Hua
Source :: Journal of Mathematics, Vol 2021 (2021)
Publication Year :: 2021
Publisher :: Hindawi Limited, 2021.
Abstract: In this paper, we discuss one-dimensional differential equation with ω -period. By using the fixed point theory, the existence of a periodic solution is obtained; by using the second Lyapunov method, the uniqueness and stability of the periodic solution are obtained.

Subjects :: Lyapunov function
Article Subject
Period (periodic table)
Differential equation
General Mathematics
010102 general mathematics
Mathematical analysis
MathematicsofComputing_GENERAL
Periodic differential equation
Fixed-point theorem
01 natural sciences
Stability (probability)
010101 applied mathematics
symbols.namesake
QA1-939
symbols
Uniqueness
0101 mathematics
Mathematics

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