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Periodic boundary value problems for second order impulsive differential systems. (English) Zbl 0712.34033
The authors study the question on solvability of the boundary value problem $x''=f(t,x,x'),\quad x(t_ k+)=I_ k(x(t_ k-)),\quad x'(t_ k+)=N_ k(x'(t_ k-))\quad (k=1,...,p),\quad x(0)=x(T),\quad x'(0)=x'(T)$ where the function f: [0,T] $$\times R^{2n}\to R^ n$$ is continuous on $$(]0,T[\setminus \{t_ 1,...,t_ p\})\times R^{2n}$$, $$t_ k\in]0,T[$$ and the components of the vector functions $$I_ k$$, $$N_ k: R^ n\to R^ n$$ $$(k=1,...,p)$$ are nondecreasing in each variable.
Reviewer: B.Shekhter

##### MSC:
 34B15 Nonlinear boundary value problems for ordinary differential equations
##### Keywords:
second order differential equation; solvability
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##### References:
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