3rd ENOC Proceedings  Index 
Abstract 
Conditions for the existence of solutions bounded on R are obtained for a weakly nonlinear ordinary differential system in assumption that the operator L defined by linear homogeneous system is a Fredholm operator and the corresponding inhomogeneous linear system has an rparametric set of solutions bounded on R. If L is a Fredholm operator with index zero and in case r = 1 we obtain the wellknown result of K. Palmer. 
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3rd ENOC Proceedings  Index 