Classification of bounded solutions of a linear nonhomogeneous differential equation

Thomas G. Hallam
1973 Proceedings of the American Mathematical Society  
An elementary criterion, depending only upon the initial data of a solution, is formulated to determine the boundedness of solutions of a nonhomogeneous linear system of ordinary differential equations. The associated homogeneous linear differential equation is required to be either conditionally stable or conditionally asymptotically stable.
doi:10.1090/s0002-9939-1973-0320409-8 fatcat:s4i4h2fslberndiqdhrpkp2mm4