ISSN:
1588-2829
Keywords:
Primary 34C25
;
Secondary 45J05
;
Periodic solutions
;
integro-differential equations
;
impulse effect
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The paper applies a numerical-analytical method for finding periodic solutions of the system of integro-differential equations $$\begin{gathered} \dot x = f(t,x,\mathop \smallint \limits_0^t \varphi (t,s,x(s))ds), t \ne t_i (x), \hfill \\ \Delta x|_{t = t_i (x)} = I_i (x). \hfill \\ \end{gathered} $$ Two theorems for existence of periodic solutions are proved for the cases whent = t i andt = t i(x).
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01896285
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