TY - JOUR AU - Kanuri, Kasi Viswanadh V. AU - Suryanarayana, R. AU - Murty, K. N. PY - 2020 TI - Existence of \(\Psi\)-bounded solutions for linear differential systems on time scales JO - Journal of Mathematics and Computer Science SP - 1--13 VL - 20 IS - 1 AB - In this paper, we define \(\Psi \)-boundedness on time scales and we present necessary and sufficient conditions for the existence of at least one \(\Psi\)-bounded solution for the linear non-homogeneous matrix system \(x^{\Delta}=A(t)x + f(t)\), where f(t) is a \(\Psi\)-bounded matrix valued function on \({T}\) assuming that \(f\) is a Lebesgue \(\Psi\)-delta integrable function on time scale \({T}\). Finally we give a result in connection with the asymptotic behavior of the \(\Psi\)-bounded solutions of this system. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.020.01.01 DO - 10.22436/jmcs.020.01.01 ID - Kanuri2020 ER -