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Periodic Solutions of a First Order Differential Equation. (CROSBI ID 90424)
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Čaklović, Lavoslav
Periodic Solutions of a First Order Differential Equation. // Glasnik matematički, 38(59) (2003), 2; 285-298-x
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Čaklović, Lavoslav
engleski
Periodic Solutions of a First Order Differential Equation.
The first order dynamical system $\dot{; ; z}; ; = F t, z)$ is considered, where $F$ is $T$-periodic in time and sub-linear at infinity. Existence of $T$--periodic solution is proved, using degree theory, and applications to non-convex amiltonian systems is given as well.
Differential equations; Periodic Solution; Degree; Hamiltonian system
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