Periodic solutions of nonlinear integro-differential equations with an impulse effect (Q1093790)
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scientific article; zbMATH DE number 4023766
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic solutions of nonlinear integro-differential equations with an impulse effect |
scientific article; zbMATH DE number 4023766 |
Statements
Periodic solutions of nonlinear integro-differential equations with an impulse effect (English)
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1987
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Periodic solutions to the system of integro-differential equations \(\dot x=f(t,x,\int^{\infty}_{0}(t,s,x(s))ds),\) \(t\neq t_ i(x)\), \(\Delta x|_{t=t_ i(x)}=I_ i(x);\) \(i=0,\pm 1,\pm 2,..\). are studied by means of a numerical-analytic method. Two theorems for their existence are proved for the case when \(t=t_ i\) and \(t=t_ i(x)\).
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first order differential equation
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integro-differential equations
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numerical-analytic method
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