Impulsive resonance periodic problems of first order (Q1861793)
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scientific article; zbMATH DE number 1878879
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Impulsive resonance periodic problems of first order |
scientific article; zbMATH DE number 1878879 |
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Impulsive resonance periodic problems of first order (English)
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10 March 2003
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A theorem on the existence of solutions to the nonlinear periodic boundary value problem \[ u'(t)+ F(t, u(t))= 0,\quad t\neq t_1,\dots, t_p,\quad u(t^+_j)= u(t^-_j)+ I_j(u(t^-_j)),\quad j= 1,\dots, p, \] is proved.
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impulsive differential equation
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periodic boundary value problem
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Green's function
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sublinear nonlinearity
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sublinear growth
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