An existence result of asymptotically stable solutions for an integral equation of mixed type

C. Avramescu, University of Craiova, Craiova, Romania
C. Vladimirescu, University of Craiova, Craiova, Romania

E. J. Qualitative Theory of Diff. Equ., No. 25. (2005), pp. 1-6.

Communicated by T. A. Burton. Received on 2005-11-03
Appeared on 2005-12-30

Abstract: In the present Note an existence result of asymptotically stable solutions for the integral equation
$$
x\left( t\right) =q\left( t\right) +\int_{0}^{t}K\left( t,s,x\left( s\right) \right) ds
+\int_{0}^{\infty }G\left( t,s,x\left( s\right) \right) ds
$$
is presented.


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